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1013417856 = 27321179973
BaseRepresentation
bin111100011001111…
…000011110000000
32121121220221221200
4330121320132000
54033413332411
6244321021200
734053624003
oct7431703600
92547827850
101013417856
11480058920
12243484800
13131c57649
149884153a
155de81e56
hex3c678780

1013417856 has 96 divisors (see below), whose sum is σ = 3181365720. Its totient is φ = 307092480.

The previous prime is 1013417843. The next prime is 1013417857. The reversal of 1013417856 is 6587143101.

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 zygodrome in base 2.

It is a self number, because there is not a number n which added to its sum of digits gives 1013417856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013417857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27315 + ... + 52658.

Almost surely, 21013417856 is an apocalyptic number.

1013417856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1013417856 is an abundant number, since it is smaller than the sum of its proper divisors (2167947864).

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

1013417856 is a wasteful number, since it uses less digits than its factorization.

1013417856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80004 (or 79989 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1013417856 is about 31834.2246018338. The cubic root of 1013417856 is about 1004.4527621475.

The spelling of 1013417856 in words is "one billion, thirteen million, four hundred seventeen thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 128 132 144 176 192 198 264 288 352 384 396 528 576 704 792 1056 1152 1408 1584 2112 3168 4224 6336 12672 79973 159946 239919 319892 479838 639784 719757 879703 959676 1279568 1439514 1759406 1919352 2559136 2639109 2879028 3518812 3838704 5118272 5278218 5758056 7037624 7677408 7917327 10236544 10556436 11516112 14075248 15354816 15834654 21112872 23032224 28150496 30709632 31669308 42225744 46064448 56300992 63338616 84451488 92128896 112601984 126677232 168902976 253354464 337805952 506708928 1013417856