Search a number
-
+
156646980 = 223357291429
BaseRepresentation
bin10010101011000…
…11111001000100
3101220202111021000
421111203321010
5310100200410
623313253300
73611322510
oct1125437104
9356674230
10156646980
1180472216
1244564230
13265b8529
1416b39140
15db43dc0
hex9563e44

156646980 has 192 divisors, whose sum is σ = 576576000. Its totient is φ = 34546176.

The previous prime is 156646933. The next prime is 156646991. The reversal of 156646980 is 89646651.

156646980 is a `hidden beast` number, since 1 + 566 + 4 + 6 + 9 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 63 ways as a sum of consecutive naturals, for example, 108906 + ... + 110334.

It is an arithmetic number, because the mean of its divisors is an integer number (3003000).

Almost surely, 2156646980 is an apocalyptic number.

156646980 is a gapful number since it is divisible by the number (10) 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 156646980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288288000).

156646980 is an abundant number, since it is smaller than the sum of its proper divisors (419929020).

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

156646980 is a wasteful number, since it uses less digits than its factorization.

156646980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1483 (or 1475 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 156646980 is about 12515.8691268325. The cubic root of 156646980 is about 539.0644294071.

The spelling of 156646980 in words is "one hundred fifty-six million, six hundred forty-six thousand, nine hundred eighty".