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151585340 = 225471311231
BaseRepresentation
bin10010000100100…
…00001000111100
3101120020022222212
421002100020330
5302301212330
623012555552
73520311524
oct1102201074
9346208885
10151585340
1178625345
1242922bb8
132553568a
14161bc684
15d494295
hex909023c

151585340 has 48 divisors (see below), whose sum is σ = 327849984. Its totient is φ = 58843200.

The previous prime is 151585339. The next prime is 151585367. The reversal of 151585340 is 43585151.

It is a Smith number, since the sum of its digits (32) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 151585297 and 151585306.

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, 122525 + ... + 123755.

It is an arithmetic number, because the mean of its divisors is an integer number (6830208).

Almost surely, 2151585340 is an apocalyptic number.

151585340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151585340 is an abundant number, since it is smaller than the sum of its proper divisors (176264644).

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

151585340 is a wasteful number, since it uses less digits than its factorization.

151585340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1418 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The square root of 151585340 is about 12311.9998375569. Note that the first 3 decimals coincide. The cubic root of 151585340 is about 533.1945897779.

The spelling of 151585340 in words is "one hundred fifty-one million, five hundred eighty-five thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 47 94 131 188 235 262 470 524 655 940 1231 1310 2462 2620 4924 6155 6157 12310 12314 24620 24628 30785 57857 61570 115714 123140 161261 231428 289285 322522 578570 645044 806305 1157140 1612610 3225220 7579267 15158534 30317068 37896335 75792670 151585340