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1381930272 = 253217299733
BaseRepresentation
bin101001001011110…
…1001010100100000
310120022100022221200
41102113221110200
510312233232042
6345043321200
746150133142
oct12227512440
93508308850
101381930272
1164a077738
12326980200
131903c2b28
14d176ac92
15814c5c4c
hex525e9520

1381930272 has 144 divisors (see below), whose sum is σ = 4304958840. Its totient is φ = 418553856.

The previous prime is 1381930261. The next prime is 1381930283. The reversal of 1381930272 is 2720391831.

1381930272 is a `hidden beast` number, since 1 + 381 + 9 + 3 + 0 + 272 = 666.

It is an interprime number because it is at equal distance from previous prime (1381930261) and next prime (1381930283).

It can be written as a sum of positive squares in 4 ways, for example, as 1381162896 + 767376 = 37164^2 + 876^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 137118 + ... + 146850.

Almost surely, 21381930272 is an apocalyptic number.

1381930272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1381930272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2152479420).

1381930272 is an abundant number, since it is smaller than the sum of its proper divisors (2923028568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1381930272 is a wasteful number, since it uses less digits than its factorization.

1381930272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9795 (or 9784 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1381930272 is about 37174.3227510603. The cubic root of 1381930272 is about 1113.8551319170.

The spelling of 1381930272 in words is "one billion, three hundred eighty-one million, nine hundred thirty thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 29 32 34 36 48 51 58 68 72 87 96 102 116 136 144 153 174 204 232 261 272 288 306 348 408 464 493 522 544 612 696 816 928 986 1044 1224 1392 1479 1632 1972 2088 2448 2784 2958 3944 4176 4437 4896 5916 7888 8352 8874 9733 11832 15776 17748 19466 23664 29199 35496 38932 47328 58398 70992 77864 87597 116796 141984 155728 165461 175194 233592 282257 311456 330922 350388 467184 496383 564514 661844 700776 846771 934368 992766 1129028 1323688 1401552 1489149 1693542 1985532 2258056 2540313 2647376 2803104 2978298 3387084 3971064 4516112 4798369 5080626 5294752 5956596 6774168 7942128 9032224 9596738 10161252 11913192 13548336 14395107 15884256 19193476 20322504 23826384 27096672 28790214 38386952 40645008 43185321 47652768 57580428 76773904 81290016 86370642 115160856 153547808 172741284 230321712 345482568 460643424 690965136 1381930272