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630620400 = 24352525517
BaseRepresentation
bin100101100101101…
…000000011110000
31121221121211120010
4211211220003300
52242414323100
6142324214520
721425120304
oct4545500360
91557554503
10630620400
112a3a72493
1215723a440
13a085a087
145da77d04
153a56a750
hex259680f0

630620400 has 60 divisors (see below), whose sum is σ = 2020091192. Its totient is φ = 168165120.

The previous prime is 630620363. The next prime is 630620407. The reversal of 630620400 is 4026036.

It is a tau number, because it is divible by the number of its divisors (60).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630620407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 261559 + ... + 263958.

Almost surely, 2630620400 is an apocalyptic number.

630620400 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630620400 is an abundant number, since it is smaller than the sum of its proper divisors (1389470792).

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

630620400 is a wasteful number, since it uses less digits than its factorization.

630620400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 525538 (or 525527 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

The square root of 630620400 is about 25112.1564187546. The cubic root of 630620400 is about 857.5431955279.

Adding to 630620400 its reverse (4026036), we get a palindrome (634646436).

The spelling of 630620400 in words is "six hundred thirty million, six hundred twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 525517 1051034 1576551 2102068 2627585 3153102 4204136 5255170 6306204 7882755 8408272 10510340 12612408 13137925 15765510 21020680 25224816 26275850 31531020 39413775 42041360 52551700 63062040 78827550 105103400 126124080 157655100 210206800 315310200 630620400