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151030656 = 273472081
BaseRepresentation
bin10010000000010…
…00101110000000
3101112012011010000
421000020232000
5302130440111
622553040000
73512511420
oct1100105600
9345164100
10151030656
1178286627
12426b6000
13253a006a
14160b6480
15d3d4c56
hex9008b80

151030656 has 160 divisors (see below), whose sum is σ = 513920880. Its totient is φ = 43130880.

The previous prime is 151030631. The next prime is 151030657. The reversal of 151030656 is 656030151.

It is a happy number.

151030656 is a `hidden beast` number, since 1 + 5 + 1 + 0 + 3 + 0 + 656 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (151030657) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71536 + ... + 73616.

Almost surely, 2151030656 is an apocalyptic number.

151030656 is a gapful number since it is divisible by the number (16) 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 151030656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256960440).

151030656 is an abundant number, since it is smaller than the sum of its proper divisors (362890224).

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

151030656 is an equidigital number, since it uses as much as digits as its factorization.

151030656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2114 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 151030656 is about 12289.4530390901. The cubic root of 151030656 is about 532.5434362505.

The spelling of 151030656 in words is "one hundred fifty-one million, thirty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2081 2268 2592 2688 3024 3456 4032 4162 4536 5184 6048 6243 8064 8324 9072 10368 12096 12486 14567 16648 18144 18729 24192 24972 29134 33296 36288 37458 43701 49944 56187 58268 66592 72576 74916 87402 99888 112374 116536 131103 133184 149832 168561 174804 199776 224748 233072 262206 266368 299664 337122 349608 393309 399552 449496 466144 524412 599328 674244 699216 786618 799104 898992 932288 1048824 1179927 1198656 1348488 1398432 1573236 1797984 1864576 2097648 2359854 2397312 2696976 2796864 3146472 3595968 4195296 4719708 5393952 5593728 6292944 7191936 8390592 9439416 10787904 12585888 16781184 18878832 21575808 25171776 37757664 50343552 75515328 151030656