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5630016 = 26375971
BaseRepresentation
bin10101011110100001000000
3101121000221010
4111132201000
52420130031
6320400520
765566020
oct25364100
911530833
105630016
1131a5a07
121a76140
131221792
14a67a80
15763246
hex55e840

5630016 has 112 divisors (see below), whose sum is σ = 17556480. Its totient is φ = 1559040.

The previous prime is 5629993. The next prime is 5630017. The reversal of 5630016 is 6100365.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 5629974 and 5630001.

It is not an unprimeable number, because it can be changed into a prime (5630017) 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, 79261 + ... + 79331.

Almost surely, 25630016 is an apocalyptic number.

5630016 is a gapful number since it is divisible by the number (56) 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 5630016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8778240).

5630016 is an abundant number, since it is smaller than the sum of its proper divisors (11926464).

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

5630016 is a wasteful number, since it uses less digits than its factorization.

5630016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 5630016 is about 2372.7654751366. The cubic root of 5630016 is about 177.8975128577.

The spelling of 5630016 in words is "five million, six hundred thirty thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 59 64 71 84 96 112 118 142 168 177 192 213 224 236 284 336 354 413 426 448 472 497 568 672 708 826 852 944 994 1136 1239 1344 1416 1491 1652 1704 1888 1988 2272 2478 2832 2982 3304 3408 3776 3976 4189 4544 4956 5664 5964 6608 6816 7952 8378 9912 11328 11928 12567 13216 13632 15904 16756 19824 23856 25134 26432 29323 31808 33512 39648 47712 50268 58646 67024 79296 87969 95424 100536 117292 134048 175938 201072 234584 268096 351876 402144 469168 703752 804288 938336 1407504 1876672 2815008 5630016