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20953660 = 22571329397
BaseRepresentation
bin100111111101…
…1101000111100
31110102120000111
41033323220330
520331004120
62025035404
7343050250
oct117735074
943376014
1020953660
1110911882
127025b64
134458520
142ad6260
151c8d75a
hex13fba3c

20953660 has 96 divisors (see below), whose sum is σ = 56165760. Its totient is φ = 6386688.

The previous prime is 20953643. The next prime is 20953663. The reversal of 20953660 is 6635902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20953663) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52582 + ... + 52978.

It is an arithmetic number, because the mean of its divisors is an integer number (585060).

Almost surely, 220953660 is an apocalyptic number.

20953660 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 20953660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28082880).

20953660 is an abundant number, since it is smaller than the sum of its proper divisors (35212100).

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

20953660 is a wasteful number, since it uses less digits than its factorization.

20953660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 453 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 31.

The square root of 20953660 is about 4577.5167940708. The cubic root of 20953660 is about 275.6893339849.

The spelling of 20953660 in words is "twenty million, nine hundred fifty-three thousand, six hundred sixty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 29 35 52 58 65 70 91 116 130 140 145 182 203 260 290 364 377 397 406 455 580 754 794 812 910 1015 1508 1588 1820 1885 1985 2030 2639 2779 3770 3970 4060 5161 5278 5558 7540 7940 10322 10556 11116 11513 13195 13895 20644 23026 25805 26390 27790 36127 46052 51610 52780 55580 57565 72254 80591 103220 115130 144508 149669 161182 180635 230260 299338 322364 361270 402955 598676 722540 748345 805910 1047683 1496690 1611820 2095366 2993380 4190732 5238415 10476830 20953660