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21503680 = 2651141149
BaseRepresentation
bin101001000000…
…1111011000000
31111110111111121
41102001323000
521001104210
62044522024
7350530642
oct122017300
944414447
1021503680
1111158040
127250314
1345bb993
142bda892
151d4b6da
hex1481ec0

21503680 has 112 divisors (see below), whose sum is σ = 57607200. Its totient is φ = 7577600.

The previous prime is 21503653. The next prime is 21503693. The reversal of 21503680 is 8630512.

It is a happy 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, 144246 + ... + 144394.

It is an arithmetic number, because the mean of its divisors is an integer number (514350).

Almost surely, 221503680 is an apocalyptic number.

21503680 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 21503680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28803600).

21503680 is an abundant number, since it is smaller than the sum of its proper divisors (36103520).

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

21503680 is a wasteful number, since it uses less digits than its factorization.

21503680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The square root of 21503680 is about 4637.2060553743. The cubic root of 21503680 is about 278.0807522084.

The spelling of 21503680 in words is "twenty-one million, five hundred three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 41 44 55 64 80 82 88 110 149 160 164 176 205 220 298 320 328 352 410 440 451 596 656 704 745 820 880 902 1192 1312 1490 1639 1640 1760 1804 2255 2384 2624 2980 3278 3280 3520 3608 4510 4768 5960 6109 6556 6560 7216 8195 9020 9536 11920 12218 13112 13120 14432 16390 18040 23840 24436 26224 28864 30545 32780 36080 47680 48872 52448 61090 65560 67199 72160 97744 104896 122180 131120 134398 144320 195488 244360 262240 268796 335995 390976 488720 524480 537592 671990 977440 1075184 1343980 1954880 2150368 2687960 4300736 5375920 10751840 21503680