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21795072 = 283133759
BaseRepresentation
bin101001100100…
…1000100000000
31112000022012220
41103021010000
521034420242
62055051040
7353153325
oct123110400
945008186
1021795072
1111336a62
127370a80
1346914c0
142c74b4c
151da7bec
hex14c9100

21795072 has 144 divisors (see below), whose sum is σ = 65244480. Its totient is φ = 6414336.

The previous prime is 21795043. The next prime is 21795079. The reversal of 21795072 is 27059712.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (21795079) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 369379 + ... + 369437.

Almost surely, 221795072 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 21795072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32622240).

21795072 is an abundant number, since it is smaller than the sum of its proper divisors (43449408).

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

21795072 is a wasteful number, since it uses less digits than its factorization.

21795072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 8820, while the sum is 33.

The square root of 21795072 is about 4668.5192513258. The cubic root of 21795072 is about 279.3311928770.

The spelling of 21795072 in words is "twenty-one million, seven hundred ninety-five thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 37 39 48 52 59 64 74 78 96 104 111 118 128 148 156 177 192 208 222 236 256 296 312 354 384 416 444 472 481 592 624 708 767 768 832 888 944 962 1184 1248 1416 1443 1534 1664 1776 1888 1924 2183 2301 2368 2496 2832 2886 3068 3328 3552 3776 3848 4366 4602 4736 4992 5664 5772 6136 6549 7104 7552 7696 8732 9204 9472 9984 11328 11544 12272 13098 14208 15104 15392 17464 18408 22656 23088 24544 26196 28379 28416 30784 34928 36816 45312 46176 49088 52392 56758 61568 69856 73632 85137 92352 98176 104784 113516 123136 139712 147264 170274 184704 196352 209568 227032 279424 294528 340548 369408 419136 454064 558848 589056 681096 838272 908128 1362192 1676544 1816256 2724384 3632512 5448768 7265024 10897536 21795072