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630975840 = 253511119503
BaseRepresentation
bin100101100110111…
…110110101100000
31121222021220010120
4211212332311200
52243012211330
6142340000240
721431130465
oct4546766540
91558256116
10630975840
112a4195540
12157390080
13a0952ab1
145db2b66c
153a5dac10
hex259bed60

630975840 has 96 divisors (see below), whose sum is σ = 2168280576. Its totient is φ = 152962560.

The previous prime is 630975833. The next prime is 630975847. The reversal of 630975840 is 48579036.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (630975833) and next prime (630975847).

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

It is a junction number, because it is equal to n+sod(n) for n = 630975792 and 630975801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (630975847) 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, 54472 + ... + 65031.

It is an arithmetic number, because the mean of its divisors is an integer number (22586256).

Almost surely, 2630975840 is an apocalyptic number.

630975840 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

630975840 is an abundant number, since it is smaller than the sum of its proper divisors (1537304736).

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

630975840 is a wasteful number, since it uses less digits than its factorization.

630975840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119532 (or 119524 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 42.

The square root of 630975840 is about 25119.2324723507. The cubic root of 630975840 is about 857.7042791767.

The spelling of 630975840 in words is "six hundred thirty million, nine hundred seventy-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 119503 239006 358509 478012 597515 717018 956024 1195030 1314533 1434036 1792545 1912048 2390060 2629066 2868072 3585090 3824096 3943599 4780120 5258132 5736144 6572665 7170180 7887198 9560240 10516264 11472288 13145330 14340360 15774396 19120480 19717995 21032528 26290660 28680720 31548792 39435990 42065056 52581320 57361440 63097584 78871980 105162640 126195168 157743960 210325280 315487920 630975840