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156720 = 2435653
BaseRepresentation
bin100110010000110000
321221222110
4212100300
520003340
63205320
71221624
oct462060
9257873
10156720
11a7823
1276840
1356445
1441184
1531680
hex26430

156720 has 40 divisors (see below), whose sum is σ = 486576. Its totient is φ = 41728.

The previous prime is 156719. The next prime is 156727. The reversal of 156720 is 27651.

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-3 number, since 3×1567203 = 11547674233344000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 156720.

It is not an unprimeable number, because it can be changed into a prime (156727) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 87 + ... + 566.

2156720 is an apocalyptic number.

156720 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 156720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243288).

156720 is an abundant number, since it is smaller than the sum of its proper divisors (329856).

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

156720 is a wasteful number, since it uses less digits than its factorization.

156720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669 (or 663 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 156720 is about 395.8787693221. The cubic root of 156720 is about 53.9148176888.

The spelling of 156720 in words is "one hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 653 1306 1959 2612 3265 3918 5224 6530 7836 9795 10448 13060 15672 19590 26120 31344 39180 52240 78360 156720