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151891830 = 23256173379
BaseRepresentation
bin10010000110110…
…10111101110110
3101120210220102100
421003122331312
5302341014310
623023322530
73523026216
oct1103327566
9346726370
10151891830
1178814642
1242a50446
132561202c
141625c246
15d504ec0
hex90daf76

151891830 has 96 divisors (see below), whose sum is σ = 407964960. Its totient is φ = 39191040.

The previous prime is 151891813. The next prime is 151891841. The reversal of 151891830 is 38198151.

It is a super-2 number, since 2×1518918302 = 46142256041497800, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400581 + ... + 400959.

It is an arithmetic number, because the mean of its divisors is an integer number (4249635).

Almost surely, 2151891830 is an apocalyptic number.

151891830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151891830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203982480).

151891830 is an abundant number, since it is smaller than the sum of its proper divisors (256073130).

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

151891830 is a wasteful number, since it uses less digits than its factorization.

151891830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 526 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 151891830 is about 12324.4403524055. The cubic root of 151891830 is about 533.5537027692.

The spelling of 151891830 in words is "one hundred fifty-one million, eight hundred ninety-one thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 61 73 90 122 146 183 219 305 365 366 379 438 549 610 657 730 758 915 1095 1098 1137 1314 1830 1895 2190 2274 2745 3285 3411 3790 4453 5490 5685 6570 6822 8906 11370 13359 17055 22265 23119 26718 27667 34110 40077 44530 46238 55334 66795 69357 80154 83001 115595 133590 138335 138714 166002 200385 208071 231190 249003 276670 346785 400770 415005 416142 498006 693570 830010 1040355 1245015 1687687 2080710 2490030 3375374 5063061 8438435 10126122 15189183 16876870 25315305 30378366 50630610 75945915 151891830