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151012608 = 2831979131
BaseRepresentation
bin10010000000001…
…00010100000000
3101112011020100120
421000010110000
5302124400413
622552420240
73512404665
oct1100042400
9345136316
10151012608
117827400a
12426a7680
1325394a96
14160ada6c
15d3ce723
hex9004500

151012608 has 144 divisors (see below), whose sum is σ = 431692800. Its totient is φ = 46725120.

The previous prime is 151012597. The next prime is 151012639. The reversal of 151012608 is 806210151.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1152703 + ... + 1152833.

Almost surely, 2151012608 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 151012608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215846400).

151012608 is an abundant number, since it is smaller than the sum of its proper divisors (280680192).

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

151012608 is a wasteful number, since it uses less digits than its factorization.

151012608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 24.

The square root of 151012608 is about 12288.7187289807. The cubic root of 151012608 is about 532.5222226173.

Adding to 151012608 its reverse (806210151), we get a palindrome (957222759).

The spelling of 151012608 in words is "one hundred fifty-one million, twelve thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 64 76 79 96 114 128 131 152 158 192 228 237 256 262 304 316 384 393 456 474 524 608 632 768 786 912 948 1048 1216 1264 1501 1572 1824 1896 2096 2432 2489 2528 3002 3144 3648 3792 4192 4503 4864 4978 5056 6004 6288 7296 7467 7584 8384 9006 9956 10112 10349 12008 12576 14592 14934 15168 16768 18012 19912 20224 20698 24016 25152 29868 30336 31047 33536 36024 39824 41396 48032 50304 59736 60672 62094 72048 79648 82792 96064 100608 119472 124188 144096 159296 165584 192128 196631 238944 248376 288192 318592 331168 384256 393262 477888 496752 576384 589893 637184 662336 786524 955776 993504 1152768 1179786 1324672 1573048 1911552 1987008 2359572 2649344 3146096 3974016 4719144 6292192 7948032 9438288 12584384 18876576 25168768 37753152 50337536 75506304 151012608