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1380147552 = 25337228199
BaseRepresentation
bin101001001000011…
…0110000101100000
310120011222202112000
41102100312011200
510311304210202
6344541204000
746126026540
oct12220660540
93504882460
101380147552
1164906a313
12326260600
1318cc1a574
14d1425320
158127291c
hex52436160

1380147552 has 96 divisors (see below), whose sum is σ = 4600512000. Its totient is φ = 394326144.

The previous prime is 1380147551. The next prime is 1380147557. The reversal of 1380147552 is 2557410831.

1380147552 is a `hidden beast` number, since 13 + 80 + 14 + 7 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380147551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 108052 + ... + 120147.

It is an arithmetic number, because the mean of its divisors is an integer number (47922000).

Almost surely, 21380147552 is an apocalyptic number.

1380147552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1380147552 is an abundant number, since it is smaller than the sum of its proper divisors (3220364448).

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

1380147552 is a wasteful number, since it uses less digits than its factorization.

1380147552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228225 (or 228211 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 1380147552 is about 37150.3371720904. The cubic root of 1380147552 is about 1113.3759600573.

The spelling of 1380147552 in words is "one billion, three hundred eighty million, one hundred forty-seven thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 84 96 108 112 126 144 168 189 216 224 252 288 336 378 432 504 672 756 864 1008 1512 2016 3024 6048 228199 456398 684597 912796 1369194 1597393 1825592 2053791 2738388 3194786 3651184 4107582 4792179 5476776 6161373 6389572 7302368 8215164 9584358 10953552 12322746 12779144 14376537 16430328 19168716 21907104 24645492 25558288 28753074 32860656 38337432 43129611 49290984 51116576 57506148 65721312 76674864 86259222 98581968 115012296 153349728 172518444 197163936 230024592 345036888 460049184 690073776 1380147552