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21103940 = 225111347157
BaseRepresentation
bin101000010000…
…0010101000100
31110201012011102
41100200111010
520400311230
62032155232
7344244344
oct120402504
943635142
1021103940
1110a04780
127098b18
1344aba50
142b34d24
151cbd045
hex1420544

21103940 has 96 divisors (see below), whose sum is σ = 53512704. Its totient is φ = 6888960.

The previous prime is 21103937. The next prime is 21103961. The reversal of 21103940 is 4930112.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134342 + ... + 134498.

It is an arithmetic number, because the mean of its divisors is an integer number (557424).

Almost surely, 221103940 is an apocalyptic number.

21103940 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 21103940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26756352).

21103940 is an abundant number, since it is smaller than the sum of its proper divisors (32408764).

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

21103940 is a wasteful number, since it uses less digits than its factorization.

21103940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 21103940 is about 4593.9024804626. The cubic root of 21103940 is about 276.3468474204.

Subtracting from 21103940 its reverse (4930112), we obtain a triangular number (16173828 = T5687).

The spelling of 21103940 in words is "twenty-one million, one hundred three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 47 52 55 65 94 110 130 143 157 188 220 235 260 286 314 470 517 572 611 628 715 785 940 1034 1222 1430 1570 1727 2041 2068 2444 2585 2860 3055 3140 3454 4082 5170 6110 6721 6908 7379 8164 8635 10205 10340 12220 13442 14758 17270 20410 22451 26884 29516 33605 34540 36895 40820 44902 67210 73790 81169 89804 95927 112255 134420 147580 162338 191854 224510 324676 383708 405845 449020 479635 811690 959270 1055197 1623380 1918540 2110394 4220788 5275985 10551970 21103940