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20962960 = 245673911
BaseRepresentation
bin100111111110…
…1111010010000
31110110000202221
41033331322100
520331303320
62025150424
7343116334
oct117757220
943400687
1020962960
1110918867
12702b414
13445c825
142ad97c4
151c913aa
hex13fde90

20962960 has 40 divisors (see below), whose sum is σ = 49478976. Its totient is φ = 8257920.

The previous prime is 20962957. The next prime is 20962993. The reversal of 20962960 is 6926902.

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

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3405 + ... + 7315.

Almost surely, 220962960 is an apocalyptic number.

20962960 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 20962960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24739488).

20962960 is an abundant number, since it is smaller than the sum of its proper divisors (28516016).

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

20962960 is a wasteful number, since it uses less digits than its factorization.

20962960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3991 (or 3985 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 20962960 is about 4578.5325159924. The cubic root of 20962960 is about 275.7301149524.

The spelling of 20962960 in words is "twenty million, nine hundred sixty-two thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 67 80 134 268 335 536 670 1072 1340 2680 3911 5360 7822 15644 19555 31288 39110 62576 78220 156440 262037 312880 524074 1048148 1310185 2096296 2620370 4192592 5240740 10481480 20962960