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1389985056 = 253315710247
BaseRepresentation
bin101001011011001…
…0111110100100000
310120212111120001000
41102312113310200
510321314010211
6345532112000
746305451365
oct12266276440
93525446030
101389985056
11653679389
12329605600
13191c83185
14d286646c
1582067656
hex52d97d20

1389985056 has 96 divisors (see below), whose sum is σ = 4080343680. Its totient is φ = 460332288.

The previous prime is 1389985027. The next prime is 1389985057. The reversal of 1389985056 is 6505899831.

It is a happy number.

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 (54).

It is a junction number, because it is equal to n+sod(n) for n = 1389984993 and 1389985011.

It is not an unprimeable number, because it can be changed into a prime (1389985057) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130525 + ... + 140771.

It is an arithmetic number, because the mean of its divisors is an integer number (42503580).

Almost surely, 21389985056 is an apocalyptic number.

1389985056 is a gapful number since it is divisible by the number (16) 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 1389985056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2040171840).

1389985056 is an abundant number, since it is smaller than the sum of its proper divisors (2690358624).

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

1389985056 is a wasteful number, since it uses less digits than its factorization.

1389985056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10423 (or 10409 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 1389985056 is about 37282.5033494265. The cubic root of 1389985056 is about 1116.0150304369.

The spelling of 1389985056 in words is "one billion, three hundred eighty-nine million, nine hundred eighty-five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 157 216 288 314 432 471 628 864 942 1256 1413 1884 2512 2826 3768 4239 5024 5652 7536 8478 10247 11304 15072 16956 20494 22608 30741 33912 40988 45216 61482 67824 81976 92223 122964 135648 163952 184446 245928 276669 327904 368892 491856 553338 737784 983712 1106676 1475568 1608779 2213352 2951136 3217558 4426704 4826337 6435116 8853408 9652674 12870232 14479011 19305348 25740464 28958022 38610696 43437033 51480928 57916044 77221392 86874066 115832088 154442784 173748132 231664176 347496264 463328352 694992528 1389985056