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151963364 = 22729316037
BaseRepresentation
bin10010000111011…
…00011011100100
3101120221112112202
421003230123210
5302400311424
623025034032
73523444610
oct1103543344
9346845482
10151963364
1178863363
1242a85918
1325638767
141627a340
15d51b2ae
hex90ec6e4

151963364 has 48 divisors (see below), whose sum is σ = 324602880. Its totient is φ = 60842880.

The previous prime is 151963363. The next prime is 151963379. The reversal of 151963364 is 463369151.

It is not an unprimeable number, because it can be changed into a prime (151963363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22154 + ... + 28190.

It is an arithmetic number, because the mean of its divisors is an integer number (6762560).

Almost surely, 2151963364 is an apocalyptic number.

151963364 is a gapful number since it is divisible by the number (14) 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 151963364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162301440).

151963364 is an abundant number, since it is smaller than the sum of its proper divisors (172639516).

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

151963364 is a wasteful number, since it uses less digits than its factorization.

151963364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6108 (or 6106 counting only the distinct ones).

The product of its digits is 58320, while the sum is 38.

The square root of 151963364 is about 12327.3421304026. The cubic root of 151963364 is about 533.6374492979.

The spelling of 151963364 in words is "one hundred fifty-one million, nine hundred sixty-three thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 29 31 58 62 116 124 203 217 406 434 812 868 899 1798 3596 6037 6293 12074 12586 24148 25172 42259 84518 169036 175073 187147 350146 374294 700292 748588 1225511 1310029 2451022 2620058 4902044 5240116 5427263 10854526 21709052 37990841 75981682 151963364