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151300332 = 22334147727
BaseRepresentation
bin10010000010010…
…10100011101100
3101112200212001000
421001022203230
5302213102312
623002520300
73515013561
oct1101124354
9345625030
10151300332
11784501a7
1242806090
1325465a31
1416146868
15d439adc
hex904a8ec

151300332 has 96 divisors (see below), whose sum is σ = 410941440. Its totient is φ = 48090240.

The previous prime is 151300327. The next prime is 151300343. The reversal of 151300332 is 233003151.

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

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, 207753 + ... + 208479.

It is an arithmetic number, because the mean of its divisors is an integer number (4280640).

Almost surely, 2151300332 is an apocalyptic number.

151300332 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 151300332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205470720).

151300332 is an abundant number, since it is smaller than the sum of its proper divisors (259641108).

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

151300332 is a wasteful number, since it uses less digits than its factorization.

151300332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 270, while the sum is 18.

The square root of 151300332 is about 12300.4199928295. The cubic root of 151300332 is about 532.8602125360.

Adding to 151300332 its reverse (233003151), we get a palindrome (384303483).

The spelling of 151300332 in words is "one hundred fifty-one million, three hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 47 54 82 94 108 123 141 164 188 246 282 369 423 492 564 727 738 846 1107 1269 1454 1476 1692 1927 2181 2214 2538 2908 3854 4362 4428 5076 5781 6543 7708 8724 11562 13086 17343 19629 23124 26172 29807 34169 34686 39258 52029 59614 68338 69372 78516 89421 102507 104058 119228 136676 178842 205014 208116 268263 307521 357684 410028 536526 615042 804789 922563 1073052 1230084 1400929 1609578 1845126 2801858 3219156 3690252 4202787 5603716 8405574 12608361 16811148 25216722 37825083 50433444 75650166 151300332