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20453664 = 2537112767
BaseRepresentation
bin100111000000…
…1100100100000
31102111011011010
41032001210200
520214004124
62010220520
7335565450
oct116014440
942434133
1020453664
1110600160
126a24740
134311a7a
142a05d60
151be0529
hex1381920

20453664 has 96 divisors (see below), whose sum is σ = 66963456. Its totient is φ = 5310720.

The previous prime is 20453663. The next prime is 20453683. The reversal of 20453664 is 46635402.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (20453663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6009 + ... + 8775.

It is an arithmetic number, because the mean of its divisors is an integer number (697536).

Almost surely, 220453664 is an apocalyptic number.

20453664 is a gapful number since it is divisible by the number (24) 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 20453664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33481728).

20453664 is an abundant number, since it is smaller than the sum of its proper divisors (46509792).

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

20453664 is a wasteful number, since it uses less digits than its factorization.

20453664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2798 (or 2790 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 20453664 is about 4522.5727191500. The cubic root of 20453664 is about 273.4788253122.

The spelling of 20453664 in words is "twenty million, four hundred fifty-three thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 66 77 84 88 96 112 132 154 168 176 224 231 264 308 336 352 462 528 616 672 924 1056 1232 1848 2464 2767 3696 5534 7392 8301 11068 16602 19369 22136 30437 33204 38738 44272 58107 60874 66408 77476 88544 91311 116214 121748 132816 154952 182622 213059 232428 243496 265632 309904 365244 426118 464856 486992 619808 639177 730488 852236 929712 973984 1278354 1460976 1704472 1859424 2556708 2921952 3408944 5113416 6817888 10226832 20453664