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630299616 = 253171920327
BaseRepresentation
bin100101100100011…
…001101111100000
31121221000112112020
4211210121233200
52242324041431
6142313301440
721422313132
oct4544315740
91557015466
10630299616
112a3873481
12157104880
13a077706b
145d9d3052
153a505696
hex25919be0

630299616 has 96 divisors (see below), whose sum is σ = 1844156160. Its totient is φ = 187324416.

The previous prime is 630299609. The next prime is 630299627. The reversal of 630299616 is 616992036.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20845 + ... + 41171.

It is an arithmetic number, because the mean of its divisors is an integer number (19209960).

Almost surely, 2630299616 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 630299616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922078080).

630299616 is an abundant number, since it is smaller than the sum of its proper divisors (1213856544).

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

630299616 is a wasteful number, since it uses less digits than its factorization.

630299616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20376 (or 20368 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 42.

The square root of 630299616 is about 25105.7685801491. The cubic root of 630299616 is about 857.3977658351.

The spelling of 630299616 in words is "six hundred thirty million, two hundred ninety-nine thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 68 76 96 102 114 136 152 204 228 272 304 323 408 456 544 608 646 816 912 969 1292 1632 1824 1938 2584 3876 5168 7752 10336 15504 20327 31008 40654 60981 81308 121962 162616 243924 325232 345559 386213 487848 650464 691118 772426 975696 1036677 1158639 1382236 1544852 1951392 2073354 2317278 2764472 3089704 4146708 4634556 5528944 6179408 6565621 8293416 9269112 11057888 12358816 13131242 16586832 18538224 19696863 26262484 33173664 37076448 39393726 52524968 78787452 105049936 157574904 210099872 315149808 630299616