Search a number
-
+
156680720 = 2457535279
BaseRepresentation
bin10010101011011…
…00001000010000
3101220211012112122
421111230020100
5310102240340
623314113412
73611523050
oct1125541020
9356735478
10156680720
11804955a9
124457b868
13265ca9b1
1416b47560
15db4ddb5
hex956c210

156680720 has 80 divisors (see below), whose sum is σ = 424258560. Its totient is φ = 52695552.

The previous prime is 156680717. The next prime is 156680723. The reversal of 156680720 is 27086651.

It is an interprime number because it is at equal distance from previous prime (156680717) and next prime (156680723).

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (156680723) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27041 + ... + 32319.

It is an arithmetic number, because the mean of its divisors is an integer number (5303232).

Almost surely, 2156680720 is an apocalyptic number.

156680720 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 156680720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212129280).

156680720 is an abundant number, since it is smaller than the sum of its proper divisors (267577840).

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

156680720 is a wasteful number, since it uses less digits than its factorization.

156680720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5352 (or 5346 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 35.

The square root of 156680720 is about 12517.2169430748. The cubic root of 156680720 is about 539.1031294364.

The spelling of 156680720 in words is "one hundred fifty-six million, six hundred eighty thousand, seven hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 53 56 70 80 106 112 140 212 265 280 371 424 530 560 742 848 1060 1484 1855 2120 2968 3710 4240 5279 5936 7420 10558 14840 21116 26395 29680 36953 42232 52790 73906 84464 105580 147812 184765 211160 279787 295624 369530 422320 559574 591248 739060 1119148 1398935 1478120 1958509 2238296 2797870 2956240 3917018 4476592 5595740 7834036 9792545 11191480 15668072 19585090 22382960 31336144 39170180 78340360 156680720