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21402048 = 263177983
BaseRepresentation
bin101000110100…
…1000111000000
31111021100002110
41101221013000
520434331143
62042415320
7346625433
oct121510700
944240073
1021402048
1111098748
127201540
134584645
142bb181a
151d2b533
hex14691c0

21402048 has 112 divisors (see below), whose sum is σ = 61447680. Its totient is φ = 6549504.

The previous prime is 21402047. The next prime is 21402049. The reversal of 21402048 is 84020412.

Added to its reverse (84020412) it gives a triangular number (105422460 = T14520).

It is an interprime number because it is at equal distance from previous prime (21402047) and next prime (21402049).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21402047) 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, 257815 + ... + 257897.

It is an arithmetic number, because the mean of its divisors is an integer number (548640).

Almost surely, 221402048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21402048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30723840).

21402048 is an abundant number, since it is smaller than the sum of its proper divisors (40045632).

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

21402048 is a wasteful number, since it uses less digits than its factorization.

21402048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 21402048 is about 4626.2347540954. The cubic root of 21402048 is about 277.6419661547.

Adding to 21402048 its reverse (84020412), we get a triangular number (105422460 = T14520).

The spelling of 21402048 in words is "twenty-one million, four hundred two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 79 83 96 102 136 158 166 192 204 237 249 272 316 332 408 474 498 544 632 664 816 948 996 1088 1264 1328 1343 1411 1632 1896 1992 2528 2656 2686 2822 3264 3792 3984 4029 4233 5056 5312 5372 5644 6557 7584 7968 8058 8466 10744 11288 13114 15168 15936 16116 16932 19671 21488 22576 26228 32232 33864 39342 42976 45152 52456 64464 67728 78684 85952 90304 104912 111469 128928 135456 157368 209824 222938 257856 270912 314736 334407 419648 445876 629472 668814 891752 1258944 1337628 1783504 2675256 3567008 5350512 7134016 10701024 21402048