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20400653 = 713377383
BaseRepresentation
bin100110111010…
…0101000001101
31102101110102202
41031310220031
520210310103
62005131245
7335255060
oct115645015
942343382
1020400653
1110574349
1269b9b25
1342c38c0
1429d08d7
151bce988
hex1374a0d

20400653 has 32 divisors (see below), whose sum is σ = 26455296. Its totient is φ = 15303168.

The previous prime is 20400637. The next prime is 20400671. The reversal of 20400653 is 35600402.

It is a cyclic number.

It is not a de Polignac number, because 20400653 - 24 = 20400637 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20400673) 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, 245750 + ... + 245832.

It is an arithmetic number, because the mean of its divisors is an integer number (826728).

Almost surely, 220400653 is an apocalyptic number.

It is an amenable number.

20400653 is a deficient number, since it is larger than the sum of its proper divisors (6054643).

20400653 is a wasteful number, since it uses less digits than its factorization.

20400653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213.

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 20400653 is about 4516.7082039910. The cubic root of 20400653 is about 273.2423570253.

The spelling of 20400653 in words is "twenty million, four hundred thousand, six hundred fifty-three".

Divisors: 1 7 13 37 73 83 91 259 481 511 581 949 1079 2701 3071 3367 6059 6643 7553 18907 21497 35113 39923 42413 78767 224183 245791 279461 551369 1569281 2914379 20400653