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151393872 = 24371074211
BaseRepresentation
bin10010000011000…
…01011001010000
3101112212121100110
421001201121100
5302224100442
623004521320
73515553360
oct1101413120
9345777313
10151393872
1178504503
1242850240
1325499496
141616c9a0
15d45769c
hex9061650

151393872 has 80 divisors (see below), whose sum is σ = 451256832. Its totient is φ = 42840960.

The previous prime is 151393871. The next prime is 151393873. The reversal of 151393872 is 278393151.

It is an interprime number because it is at equal distance from previous prime (151393871) and next prime (151393873).

It is a self number, because there is not a number n which added to its sum of digits gives 151393872.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151393871) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33847 + ... + 38057.

Almost surely, 2151393872 is an apocalyptic number.

151393872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151393872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225628416).

151393872 is an abundant number, since it is smaller than the sum of its proper divisors (299862960).

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

151393872 is a wasteful number, since it uses less digits than its factorization.

151393872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336 (or 4330 counting only the distinct ones).

The product of its digits is 45360, while the sum is 39.

The square root of 151393872 is about 12304.2217145173. The cubic root of 151393872 is about 532.9700018434.

The spelling of 151393872 in words is "one hundred fifty-one million, three hundred ninety-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 107 112 168 214 321 336 428 642 749 856 1284 1498 1712 2247 2568 2996 4211 4494 5136 5992 8422 8988 11984 12633 16844 17976 25266 29477 33688 35952 50532 58954 67376 88431 101064 117908 176862 202128 235816 353724 450577 471632 707448 901154 1351731 1414896 1802308 2703462 3154039 3604616 5406924 6308078 7209232 9462117 10813848 12616156 18924234 21627696 25232312 37848468 50464624 75696936 151393872