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1107433152 = 26327274661
BaseRepresentation
bin100001000000010…
…0001011011000000
32212011211102200200
41002000201123000
54232000330102
6301520045200
736305012040
oct10200413300
92764742620
101107433152
11519131a11
1226aa63800
131485840b7
14a7115720
156735351c
hex420216c0

1107433152 has 84 divisors (see below), whose sum is σ = 3627735696. Its totient is φ = 316408320.

The previous prime is 1107433147. The next prime is 1107433157. The reversal of 1107433152 is 2513347011.

It is an interprime number because it is at equal distance from previous prime (1107433147) and next prime (1107433157).

It is a tau number, because it is divible by the number of its divisors (84).

It is a super-2 number, since 2×11074331522 = 2452816372297310208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1107433157) 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, 133299 + ... + 141362.

Almost surely, 21107433152 is an apocalyptic number.

1107433152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1107433152 is an abundant number, since it is smaller than the sum of its proper divisors (2520302544).

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

1107433152 is a wasteful number, since it uses less digits than its factorization.

1107433152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274686 (or 274673 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 1107433152 is about 33278.1182160290. The cubic root of 1107433152 is about 1034.6000779349.

The spelling of 1107433152 in words is "one billion, one hundred seven million, four hundred thirty-three thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 64 72 84 96 112 126 144 168 192 224 252 288 336 448 504 576 672 1008 1344 2016 4032 274661 549322 823983 1098644 1647966 1922627 2197288 2471949 3295932 3845254 4394576 4943898 5767881 6591864 7690508 8789152 9887796 11535762 13183728 15381016 17303643 17578304 19775592 23071524 26367456 30762032 34607286 39551184 46143048 52734912 61524064 69214572 79102368 92286096 123048128 138429144 158204736 184572192 276858288 369144384 553716576 1107433152