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21047360 = 265175373
BaseRepresentation
bin101000001001…
…0100001000000
31110121022112212
41100102201000
520342003420
62031041252
7343620365
oct120224100
943538485
1021047360
1110976214
127070228
13448c079
142b1c46c
151cab3c5
hex1412840

21047360 has 112 divisors (see below), whose sum is σ = 54809136. Its totient is φ = 7667712.

The previous prime is 21047333. The next prime is 21047363. The reversal of 21047360 is 6374012.

It can be written as a sum of positive squares in 8 ways, for example, as 1048576 + 19998784 = 1024^2 + 4472^2 .

It is not an unprimeable number, because it can be changed into a prime (21047363) 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, 288284 + ... + 288356.

Almost surely, 221047360 is an apocalyptic number.

21047360 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 21047360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27404568).

21047360 is an abundant number, since it is smaller than the sum of its proper divisors (33761776).

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

21047360 is a wasteful number, since it uses less digits than its factorization.

21047360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 23.

The square root of 21047360 is about 4587.7401844481. The cubic root of 21047360 is about 276.0996629504.

The spelling of 21047360 in words is "twenty-one million, forty-seven thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 53 64 68 73 80 85 106 136 146 160 170 212 265 272 292 320 340 365 424 530 544 584 680 730 848 901 1060 1088 1168 1241 1360 1460 1696 1802 2120 2336 2482 2720 2920 3392 3604 3869 4240 4505 4672 4964 5440 5840 6205 7208 7738 8480 9010 9928 11680 12410 14416 15476 16960 18020 19345 19856 23360 24820 28832 30952 36040 38690 39712 49640 57664 61904 65773 72080 77380 79424 99280 123808 131546 144160 154760 198560 247616 263092 288320 309520 328865 397120 526184 619040 657730 1052368 1238080 1315460 2104736 2630920 4209472 5261840 10523680 21047360