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156720400 = 2452391801
BaseRepresentation
bin10010101011101…
…01110100010000
3101220220012222021
421111311310100
5310110023100
623315021224
73612046534
oct1125656420
9356805867
10156720400
11805123a1
124459a814
1326612a85
1416b57bc4
15db5aa1a
hex9575d10

156720400 has 30 divisors (see below), whose sum is σ = 376521722. Its totient is φ = 62688000.

The previous prime is 156720391. The next prime is 156720449. The reversal of 156720400 is 4027651.

It can be written as a sum of positive squares in 3 ways, for example, as 8952064 + 147768336 = 2992^2 + 12156^2 .

It is a super-2 number, since 2×1567204002 = 49122567552320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 195501 + ... + 196300.

Almost surely, 2156720400 is an apocalyptic number.

156720400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

156720400 is an abundant number, since it is smaller than the sum of its proper divisors (219801322).

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

156720400 is a wasteful number, since it uses less digits than its factorization.

156720400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391819 (or 391808 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 25.

The square root of 156720400 is about 12518.8018596030. The cubic root of 156720400 is about 539.1486355812.

The spelling of 156720400 in words is "one hundred fifty-six million, seven hundred twenty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 391801 783602 1567204 1959005 3134408 3918010 6268816 7836020 9795025 15672040 19590050 31344080 39180100 78360200 156720400