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21302496 = 25321719229
BaseRepresentation
bin101000101000…
…0110011100000
31111002021112100
41101100303200
520423134441
62040330400
7346032255
oct121206340
944067470
1021302496
111102a976
127173a00
13454b237
142b8742c
151d0bcb6
hex1450ce0

21302496 has 144 divisors (see below), whose sum is σ = 67813200. Its totient is φ = 6303744.

The previous prime is 21302483. The next prime is 21302507. The reversal of 21302496 is 69420312.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92910 + ... + 93138.

It is an arithmetic number, because the mean of its divisors is an integer number (470925).

Almost surely, 221302496 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 21302496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33906600).

21302496 is an abundant number, since it is smaller than the sum of its proper divisors (46510704).

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

21302496 is a wasteful number, since it uses less digits than its factorization.

21302496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 281 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 21302496 is about 4615.4627070317. The cubic root of 21302496 is about 277.2108114697.

The spelling of 21302496 in words is "twenty-one million, three hundred two thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 19 24 32 34 36 38 48 51 57 68 72 76 96 102 114 136 144 152 153 171 204 228 229 272 288 304 306 323 342 408 456 458 544 608 612 646 684 687 816 912 916 969 1224 1292 1368 1374 1632 1824 1832 1938 2061 2448 2584 2736 2748 2907 3664 3876 3893 4122 4351 4896 5168 5472 5496 5814 7328 7752 7786 8244 8702 10336 10992 11628 11679 13053 15504 15572 16488 17404 21984 23256 23358 26106 31008 31144 32976 34808 35037 39159 46512 46716 52212 62288 65952 69616 70074 73967 78318 93024 93432 104424 124576 139232 140148 147934 156636 186864 208848 221901 280296 295868 313272 373728 417696 443802 560592 591736 626544 665703 887604 1121184 1183472 1253088 1331406 1775208 2366944 2662812 3550416 5325624 7100832 10651248 21302496