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151340832 = 25331091607
BaseRepresentation
bin10010000010101…
…00011100100000
3101112202220121000
421001110130200
5302220401312
623003432000
73515242626
oct1101243440
9345686530
10151340832
1178478675
1242825600
132547b2b6
1416157516
15d446adc
hex9054720

151340832 has 96 divisors (see below), whose sum is σ = 445737600. Its totient is φ = 49953024.

The previous prime is 151340809. The next prime is 151340843. The reversal of 151340832 is 238043151.

It is a happy number.

151340832 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a junction number, because it is equal to n+sod(n) for n = 151340796 and 151340805.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93373 + ... + 94979.

It is an arithmetic number, because the mean of its divisors is an integer number (4643100).

Almost surely, 2151340832 is an apocalyptic number.

151340832 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 151340832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222868800).

151340832 is an abundant number, since it is smaller than the sum of its proper divisors (294396768).

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

151340832 is a wasteful number, since it uses less digits than its factorization.

151340832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1735 (or 1721 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 151340832 is about 12302.0661679248. The cubic root of 151340832 is about 532.9077535493.

Adding to 151340832 its reverse (238043151), we get a palindrome (389383983).

The spelling of 151340832 in words is "one hundred fifty-one million, three hundred forty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 109 144 216 218 288 327 432 436 654 864 872 981 1308 1607 1744 1962 2616 2943 3214 3488 3924 4821 5232 5886 6428 7848 9642 10464 11772 12856 14463 15696 19284 23544 25712 28926 31392 38568 43389 47088 51424 57852 77136 86778 94176 115704 154272 173556 175163 231408 347112 350326 462816 525489 694224 700652 1050978 1388448 1401304 1576467 2101956 2802608 3152934 4203912 4729401 5605216 6305868 8407824 9458802 12611736 16815648 18917604 25223472 37835208 50446944 75670416 151340832