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20156960 = 255532377
BaseRepresentation
bin100110011100…
…1001000100000
31101221002011002
41030321020200
520130010320
62000011132
7333221435
oct114711040
941832132
1020156960
111041824a
126900aa8
1342399c5
142969b8c
151b82675
hex1339220

20156960 has 48 divisors (see below), whose sum is σ = 48539736. Its totient is φ = 7907328.

The previous prime is 20156959. The next prime is 20156963. The reversal of 20156960 is 6965102.

It can be written as a sum of positive squares in 4 ways, for example, as 17073424 + 3083536 = 4132^2 + 1756^2 .

It is not an unprimeable number, because it can be changed into a prime (20156963) 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, 7292 + ... + 9668.

Almost surely, 220156960 is an apocalyptic number.

20156960 is a gapful number since it is divisible by the number (20) 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 20156960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24269868).

20156960 is an abundant number, since it is smaller than the sum of its proper divisors (28382776).

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

20156960 is a wasteful number, since it uses less digits than its factorization.

20156960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2445 (or 2437 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 29.

The square root of 20156960 is about 4489.6503204593. The cubic root of 20156960 is about 272.1500037652.

The spelling of 20156960 in words is "twenty million, one hundred fifty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 53 80 106 160 212 265 424 530 848 1060 1696 2120 2377 4240 4754 8480 9508 11885 19016 23770 38032 47540 76064 95080 125981 190160 251962 380320 503924 629905 1007848 1259810 2015696 2519620 4031392 5039240 10078480 20156960