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20945496 = 233111317359
BaseRepresentation
bin100111111100…
…1101001011000
31110102010211010
41033321221120
520330223441
62024533520
7343014405
oct117715130
943363733
1020945496
1110906730
1270212a0
1344548b0
142ad32ac
151c8b116
hex13f9a58

20945496 has 128 divisors (see below), whose sum is σ = 65318400. Its totient is φ = 5498880.

The previous prime is 20945489. The next prime is 20945521. The reversal of 20945496 is 69454902.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58165 + ... + 58523.

It is an arithmetic number, because the mean of its divisors is an integer number (510300).

Almost surely, 220945496 is an apocalyptic number.

20945496 is a gapful number since it is divisible by the number (26) 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 20945496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32659200).

20945496 is an abundant number, since it is smaller than the sum of its proper divisors (44372904).

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

20945496 is a wasteful number, since it uses less digits than its factorization.

20945496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 20945496 is about 4576.6249573239. The cubic root of 20945496 is about 275.6535244876.

The spelling of 20945496 in words is "twenty million, nine hundred forty-five thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 11 12 13 17 22 24 26 33 34 39 44 51 52 66 68 78 88 102 104 132 136 143 156 187 204 221 264 286 312 359 374 408 429 442 561 572 663 718 748 858 884 1077 1122 1144 1326 1436 1496 1716 1768 2154 2244 2431 2652 2872 3432 3949 4308 4488 4667 4862 5304 6103 7293 7898 8616 9334 9724 11847 12206 14001 14586 15796 18309 18668 19448 23694 24412 28002 29172 31592 36618 37336 47388 48824 51337 56004 58344 67133 73236 79339 94776 102674 112008 134266 146472 154011 158678 201399 205348 238017 268532 308022 317356 402798 410696 476034 537064 616044 634712 805596 872729 952068 1232088 1611192 1745458 1904136 2618187 3490916 5236374 6981832 10472748 20945496