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151014078 = 23329731321
BaseRepresentation
bin10010000000001…
…00101010111110
3101112011022101000
421000010222332
5302124422303
622552431130
73512412165
oct1100045276
9345138330
10151014078
1178275126
12426a84a6
1325395657
14160b03dc
15d3ceda3
hex9004abe

151014078 has 64 divisors (see below), whose sum is σ = 352180800. Its totient is φ = 47900160.

The previous prime is 151014041. The next prime is 151014091. The reversal of 151014078 is 870410151.

151014078 is a `hidden beast` number, since 1 + 510 + 140 + 7 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113658 + ... + 114978.

It is an arithmetic number, because the mean of its divisors is an integer number (5502825).

Almost surely, 2151014078 is an apocalyptic number.

151014078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 151014078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176090400).

151014078 is an abundant number, since it is smaller than the sum of its proper divisors (201166722).

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

151014078 is a wasteful number, since it uses less digits than its factorization.

151014078 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1434 (or 1428 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 27.

The square root of 151014078 is about 12288.7785397899. The cubic root of 151014078 is about 532.5239505197.

The spelling of 151014078 in words is "one hundred fifty-one million, fourteen thousand, seventy-eight".

Divisors: 1 2 3 6 9 18 27 29 54 58 73 87 146 174 219 261 438 522 657 783 1314 1321 1566 1971 2117 2642 3942 3963 4234 6351 7926 11889 12702 19053 23778 35667 38106 38309 57159 71334 76618 96433 114318 114927 192866 229854 289299 344781 578598 689562 867897 1034343 1735794 2068686 2603691 2796557 5207382 5593114 8389671 16779342 25169013 50338026 75507039 151014078