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151000092 = 223311312373
BaseRepresentation
bin10010000000000…
…01010000011100
3101112010121012000
421000001100130
5302124000332
622552242300
73512323335
oct1100012034
9345117160
10151000092
1178265671
12426a0390
132538c189
14160a928c
15d3cab7c
hex900141c

151000092 has 48 divisors (see below), whose sum is σ = 394978080. Its totient is φ = 49883904.

The previous prime is 151000061. The next prime is 151000117. The reversal of 151000092 is 290000151.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 6018 + ... + 18390.

It is an arithmetic number, because the mean of its divisors is an integer number (8228710).

Almost surely, 2151000092 is an apocalyptic number.

151000092 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 151000092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197489040).

151000092 is an abundant number, since it is smaller than the sum of its proper divisors (243977988).

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

151000092 is a wasteful number, since it uses less digits than its factorization.

151000092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12499 (or 12491 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 18.

The square root of 151000092 is about 12288.2094708708. The cubic root of 151000092 is about 532.5075103087.

The spelling of 151000092 in words is "one hundred fifty-one million, ninety-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 113 226 339 452 678 1017 1356 2034 3051 4068 6102 12204 12373 24746 37119 49492 74238 111357 148476 222714 334071 445428 668142 1336284 1398149 2796298 4194447 5592596 8388894 12583341 16777788 25166682 37750023 50333364 75500046 151000092