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151027380 = 223257671789
BaseRepresentation
bin10010000000001…
…11111010110100
3101112011222121200
421000013322310
5302130334010
622553012500
73512466030
oct1100077264
9345158550
10151027380
1178284119
12426b4130
132539b71a
14160b51c0
15d3d3cc0
hex9007eb4

151027380 has 144 divisors (see below), whose sum is σ = 531672960. Its totient is φ = 33986304.

The previous prime is 151027379. The next prime is 151027423. The reversal of 151027380 is 83720151.

151027380 is a `hidden beast` number, since 1 + 510 + 2 + 73 + 80 = 666.

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, 83526 + ... + 85314.

Almost surely, 2151027380 is an apocalyptic number.

151027380 is a gapful number since it is divisible by the number (10) 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 151027380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265836480).

151027380 is an abundant number, since it is smaller than the sum of its proper divisors (380645580).

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

151027380 is a wasteful number, since it uses less digits than its factorization.

151027380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1878 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 151027380 is about 12289.3197533468. The cubic root of 151027380 is about 532.5395857631.

The spelling of 151027380 in words is "one hundred fifty-one million, twenty-seven thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 67 70 84 90 105 126 134 140 180 201 210 252 268 315 335 402 420 469 603 630 670 804 938 1005 1206 1260 1340 1407 1789 1876 2010 2345 2412 2814 3015 3578 4020 4221 4690 5367 5628 6030 7035 7156 8442 8945 9380 10734 12060 12523 14070 16101 16884 17890 21105 21468 25046 26835 28140 32202 35780 37569 42210 50092 53670 62615 64404 75138 80505 84420 107340 112707 119863 125230 150276 161010 187845 225414 239726 250460 322020 359589 375690 450828 479452 563535 599315 719178 751380 839041 1078767 1127070 1198630 1438356 1678082 1797945 2157534 2254140 2397260 2517123 3356164 3595890 4195205 4315068 5034246 5393835 7191780 7551369 8390410 10068492 10787670 12585615 15102738 16780820 21575340 25171230 30205476 37756845 50342460 75513690 151027380