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151301332 = 2271319131167
BaseRepresentation
bin10010000010010…
…10110011010100
3101112200220102001
421001022303110
5302213120312
623002525044
73515016520
oct1101126324
9345626361
10151301332
1178450a26
1242806784
1325466320
1416146d80
15d43a057
hex904acd4

151301332 has 96 divisors (see below), whose sum is σ = 347719680. Its totient is φ = 55935360.

The previous prime is 151301329. The next prime is 151301341. The reversal of 151301332 is 233103151.

It is a Harshad number since it is a multiple of its sum of digits (19).

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, 905913 + ... + 906079.

It is an arithmetic number, because the mean of its divisors is an integer number (3622080).

Almost surely, 2151301332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 151301332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173859840).

151301332 is an abundant number, since it is smaller than the sum of its proper divisors (196418348).

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

151301332 is a wasteful number, since it uses less digits than its factorization.

151301332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 341 (or 339 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 19.

The square root of 151301332 is about 12300.4606417809. The cubic root of 151301332 is about 532.8613864903.

Adding to 151301332 its reverse (233103151), we get a palindrome (384404483).

The spelling of 151301332 in words is "one hundred fifty-one million, three hundred one thousand, three hundred thirty-two".

Divisors: 1 2 4 7 13 14 19 26 28 38 52 76 91 131 133 167 182 247 262 266 334 364 494 524 532 668 917 988 1169 1703 1729 1834 2171 2338 2489 3173 3406 3458 3668 4342 4676 4978 6346 6812 6916 8684 9956 11921 12692 15197 17423 21877 22211 23842 30394 32357 34846 41249 43754 44422 47684 60788 64714 69692 82498 87508 88844 129428 153139 164996 226499 284401 288743 306278 415663 452998 568802 577486 612556 831326 905996 1137604 1154972 1662652 1990807 2909641 3981614 5403619 5819282 7963228 10807238 11638564 21614476 37825333 75650666 151301332