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20183680 = 275114761
BaseRepresentation
bin100110011111…
…1101010000000
31101222102210201
41030333222000
520131334210
62000334544
7333362356
oct114775200
941872721
1020183680
1110436330
126914454
134248c0a
1429757d6
151b8a53a
hex133fa80

20183680 has 128 divisors (see below), whose sum is σ = 54639360. Its totient is φ = 7065600.

The previous prime is 20183677. The next prime is 20183693. The reversal of 20183680 is 8638102.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 330850 + ... + 330910.

It is an arithmetic number, because the mean of its divisors is an integer number (426870).

Almost surely, 220183680 is an apocalyptic number.

20183680 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 20183680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27319680).

20183680 is an abundant number, since it is smaller than the sum of its proper divisors (34455680).

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

20183680 is a wasteful number, since it uses less digits than its factorization.

20183680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

The square root of 20183680 is about 4492.6250678195. The cubic root of 20183680 is about 272.2702043855.

The spelling of 20183680 in words is "twenty million, one hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 47 55 61 64 80 88 94 110 122 128 160 176 188 220 235 244 305 320 352 376 440 470 488 517 610 640 671 704 752 880 940 976 1034 1220 1342 1408 1504 1760 1880 1952 2068 2440 2585 2684 2867 3008 3355 3520 3760 3904 4136 4880 5170 5368 5734 6016 6710 7040 7520 7808 8272 9760 10340 10736 11468 13420 14335 15040 16544 19520 20680 21472 22936 26840 28670 30080 31537 33088 39040 41360 42944 45872 53680 57340 63074 66176 82720 85888 91744 107360 114680 126148 157685 165440 183488 214720 229360 252296 315370 330880 366976 429440 458720 504592 630740 917440 1009184 1261480 1834880 2018368 2522960 4036736 5045920 10091840 20183680