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145957100 = 22526832137
BaseRepresentation
bin10001011001100…
…10000011101100
3101011122101111112
420230302003230
5244331111400
622252211152
73421420622
oct1054620354
9334571445
10145957100
1175430803
1240a69ab8
1324314963
1415555512
15cc31835
hex8b320ec

145957100 has 36 divisors (see below), whose sum is σ = 317339064. Its totient is φ = 58270080.

The previous prime is 145957099. The next prime is 145957109. The reversal of 145957100 is 1759541.

It is not an unprimeable number, because it can be changed into a prime (145957109) 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, 67232 + ... + 69368.

It is an arithmetic number, because the mean of its divisors is an integer number (8814974).

Almost surely, 2145957100 is an apocalyptic number.

145957100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145957100 is an abundant number, since it is smaller than the sum of its proper divisors (171381964).

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

145957100 is a wasteful number, since it uses less digits than its factorization.

145957100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2834 (or 2827 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 145957100 is about 12081.2706285390. The cubic root of 145957100 is about 526.5121633709.

The spelling of 145957100 in words is "one hundred forty-five million, nine hundred fifty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 683 1366 2137 2732 3415 4274 6830 8548 10685 13660 17075 21370 34150 42740 53425 68300 106850 213700 1459571 2919142 5838284 7297855 14595710 29191420 36489275 72978550 145957100