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1157907420 = 223352144273
BaseRepresentation
bin100010100000100…
…0100001111011100
32222200210210101000
41011001010033130
54332411014140
6310521550300
740460023245
oct10501041734
92880723330
101157907420
11544676a8a
12283945390
13155b77327
14adad3ccc
156b9c3a30
hex450443dc

1157907420 has 48 divisors (see below), whose sum is σ = 3602380320. Its totient is φ = 308775168.

The previous prime is 1157907407. The next prime is 1157907433. The reversal of 1157907420 is 247097511.

It is a happy number.

1157907420 is a `hidden beast` number, since 11 + 579 + 0 + 74 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1157907407) and next prime (1157907433).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1071597 + ... + 1072676.

It is an arithmetic number, because the mean of its divisors is an integer number (75049590).

Almost surely, 21157907420 is an apocalyptic number.

1157907420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1157907420 is an abundant number, since it is smaller than the sum of its proper divisors (2444472900).

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

1157907420 is a wasteful number, since it uses less digits than its factorization.

1157907420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2144291 (or 2144283 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 36.

The square root of 1157907420 is about 34028.0387327862. The cubic root of 1157907420 is about 1050.0853808122.

The spelling of 1157907420 in words is "one billion, one hundred fifty-seven million, nine hundred seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 2144273 4288546 6432819 8577092 10721365 12865638 19298457 21442730 25731276 32164095 38596914 42885460 57895371 64328190 77193828 96492285 115790742 128656380 192984570 231581484 289476855 385969140 578953710 1157907420