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151978920 = 23351266491
BaseRepresentation
bin10010000111100…
…00001110101000
3101120222022212220
421003300032220
5302401311140
623025234040
73523541142
oct1103601650
9346868786
10151978920
1178874015
1242a92920
1325642872
1416281c92
15d520bd0
hex90f03a8

151978920 has 32 divisors (see below), whose sum is σ = 455937120. Its totient is φ = 40527680.

The previous prime is 151978907. The next prime is 151978927. The reversal of 151978920 is 29879151.

It is not an unprimeable number, because it can be changed into a prime (151978927) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 633126 + ... + 633365.

It is an arithmetic number, because the mean of its divisors is an integer number (14248035).

Almost surely, 2151978920 is an apocalyptic number.

151978920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

151978920 is an abundant number, since it is smaller than the sum of its proper divisors (303958200).

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

151978920 is a wasteful number, since it uses less digits than its factorization.

151978920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266505 (or 1266501 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 42.

The square root of 151978920 is about 12327.9730694060. The cubic root of 151978920 is about 533.6556575921.

The spelling of 151978920 in words is "one hundred fifty-one million, nine hundred seventy-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1266491 2532982 3799473 5065964 6332455 7598946 10131928 12664910 15197892 18997365 25329820 30395784 37994730 50659640 75989460 151978920