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151268094 = 2335979601
BaseRepresentation
bin10010000010000…
…10101011111110
3101112122012211000
421001002223332
5302211034334
623002111130
73514520565
oct1101025376
9345565730
10151268094
1178428a5a
12427ab4a6
1325454163
1416138bdc
15d430299
hex9042afe

151268094 has 64 divisors (see below), whose sum is σ = 346752000. Its totient is φ = 48859200.

The previous prime is 151268083. The next prime is 151268149. The reversal of 151268094 is 490862151.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 251394 + ... + 251994.

It is an arithmetic number, because the mean of its divisors is an integer number (5418000).

Almost surely, 2151268094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151268094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173376000).

151268094 is an abundant number, since it is smaller than the sum of its proper divisors (195483906).

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

151268094 is a wasteful number, since it uses less digits than its factorization.

151268094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750 (or 744 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 151268094 is about 12299.1094799583. The cubic root of 151268094 is about 532.8223638247.

It can be divided in two parts, 15126 and 8094, that added together give a triangular number (23220 = T215).

The spelling of 151268094 in words is "one hundred fifty-one million, two hundred sixty-eight thousand, ninety-four".

Divisors: 1 2 3 6 9 18 27 54 59 79 118 158 177 237 354 474 531 601 711 1062 1202 1422 1593 1803 2133 3186 3606 4266 4661 5409 9322 10818 13983 16227 27966 32454 35459 41949 47479 70918 83898 94958 106377 125847 142437 212754 251694 284874 319131 427311 638262 854622 957393 1281933 1914786 2563866 2801261 5602522 8403783 16807566 25211349 50422698 75634047 151268094