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20064096 = 25321323233
BaseRepresentation
bin100110010001…
…0011101100000
31101202100202200
41030202131200
520114022341
61554013200
7332353623
oct114423540
941670680
1020064096
11103644a8
126877200
134206660
142943dba
151b64db6
hex1322760

20064096 has 144 divisors (see below), whose sum is σ = 64393056. Its totient is φ = 5879808.

The previous prime is 20064053. The next prime is 20064113. The reversal of 20064096 is 69046002.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85996 + ... + 86228.

It is an arithmetic number, because the mean of its divisors is an integer number (447174).

Almost surely, 220064096 is an apocalyptic number.

20064096 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 20064096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32196528).

20064096 is an abundant number, since it is smaller than the sum of its proper divisors (44328960).

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

20064096 is a wasteful number, since it uses less digits than its factorization.

20064096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 20064096 is about 4479.2963733158. The cubic root of 20064096 is about 271.7314246281.

The spelling of 20064096 in words is "twenty million, sixty-four thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 23 24 26 32 36 39 46 48 52 69 72 78 92 96 104 117 138 144 156 184 207 208 233 234 276 288 299 312 368 414 416 466 468 552 598 624 699 736 828 897 932 936 1104 1196 1248 1398 1656 1794 1864 1872 2097 2208 2392 2691 2796 3029 3312 3588 3728 3744 4194 4784 5359 5382 5592 6058 6624 7176 7456 8388 9087 9568 10718 10764 11184 12116 14352 16077 16776 18174 21436 21528 22368 24232 27261 28704 32154 33552 36348 42872 43056 48231 48464 54522 64308 67104 69667 72696 85744 86112 96462 96928 109044 128616 139334 145392 171488 192924 209001 218088 257232 278668 290784 385848 418002 436176 514464 557336 627003 771696 836004 872352 1114672 1254006 1543392 1672008 2229344 2508012 3344016 5016024 6688032 10032048 20064096