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151010568 = 2334534397
BaseRepresentation
bin10010000000000…
…11110100001000
3101112011010120000
421000003310020
5302124314233
622552403000
73512366022
oct1100036410
9345133500
10151010568
1178272525
12426a6460
1325393b87
14160ad012
15d3cdd13
hex9003d08

151010568 has 80 divisors (see below), whose sum is σ = 431047980. Its totient is φ = 49375872.

The previous prime is 151010567. The next prime is 151010593. The reversal of 151010568 is 865010151.

It can be written as a sum of positive squares in 2 ways, for example, as 149377284 + 1633284 = 12222^2 + 1278^2 .

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

It is not an unprimeable number, because it can be changed into a prime (151010567) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 32146 + ... + 36542.

Almost surely, 2151010568 is an apocalyptic number.

151010568 is a gapful number since it is divisible by the number (18) 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 151010568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215523990).

151010568 is an abundant number, since it is smaller than the sum of its proper divisors (280037412).

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

151010568 is a wasteful number, since it uses less digits than its factorization.

151010568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4468 (or 4455 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 151010568 is about 12288.6357257427. The cubic root of 151010568 is about 532.5198246934.

The spelling of 151010568 in words is "one hundred fifty-one million, ten thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 81 106 108 159 162 212 216 318 324 424 477 636 648 954 1272 1431 1908 2862 3816 4293 4397 5724 8586 8794 11448 13191 17172 17588 26382 34344 35176 39573 52764 79146 105528 118719 158292 233041 237438 316584 356157 466082 474876 699123 712314 932164 949752 1398246 1424628 1864328 2097369 2796492 2849256 4194738 5592984 6292107 8389476 12584214 16778952 18876321 25168428 37752642 50336856 75505284 151010568