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21347712 = 27342971
BaseRepresentation
bin101000101101…
…1110110000000
31111011120120000
41101123312000
520431111322
62041320000
7346311141
oct121336600
944146500
1021347712
1111060941
127196000
1345659a9
142b99ac8
151d1a3ac
hex145bd80

21347712 has 160 divisors (see below), whose sum is σ = 66646800. Its totient is φ = 6773760.

The previous prime is 21347707. The next prime is 21347713. The reversal of 21347712 is 21774312.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21347713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 300637 + ... + 300707.

Almost surely, 221347712 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 21347712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33323400).

21347712 is an abundant number, since it is smaller than the sum of its proper divisors (45299088).

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

21347712 is an equidigital number, since it uses as much as digits as its factorization.

21347712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 105 counting only the distinct ones).

The product of its digits is 2352, while the sum is 27.

The square root of 21347712 is about 4620.3584276547. The cubic root of 21347712 is about 277.4068058130.

The spelling of 21347712 in words is "twenty-one million, three hundred forty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 71 72 81 87 96 108 116 128 142 144 162 174 192 213 216 232 261 284 288 324 348 384 426 432 464 522 568 576 639 648 696 783 852 864 928 1044 1136 1152 1278 1296 1392 1566 1704 1728 1856 1917 2059 2088 2272 2349 2556 2592 2784 3132 3408 3456 3712 3834 4118 4176 4544 4698 5112 5184 5568 5751 6177 6264 6816 7668 8236 8352 9088 9396 10224 10368 11136 11502 12354 12528 13632 15336 16472 16704 18531 18792 20448 23004 24708 25056 27264 30672 32944 33408 37062 37584 40896 46008 49416 50112 55593 61344 65888 74124 75168 81792 92016 98832 100224 111186 122688 131776 148248 150336 166779 184032 197664 222372 245376 263552 296496 300672 333558 368064 395328 444744 592992 667116 736128 790656 889488 1185984 1334232 1778976 2371968 2668464 3557952 5336928 7115904 10673856 21347712