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630769680 = 2435571457
BaseRepresentation
bin100101100110001…
…100100000010000
31121221220102100000
4211212030200100
52242434112210
6142331330000
721426311442
oct4546144020
91557812300
10630769680
112a4064662
121572b0900
13a08accc8
145dab6492
153a599ac0
hex2598c810

630769680 has 240 divisors, whose sum is σ = 2232607104. Its totient is φ = 165473280.

The previous prime is 630769663. The next prime is 630769681. The reversal of 630769680 is 86967036.

630769680 is a `hidden beast` number, since 630 + 7 + 6 + 9 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (630769681) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1380012 + ... + 1380468.

Almost surely, 2630769680 is an apocalyptic number.

630769680 is a gapful number since it is divisible by the number (60) 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 630769680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1116303552).

630769680 is an abundant number, since it is smaller than the sum of its proper divisors (1601837424).

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

630769680 is a wasteful number, since it uses less digits than its factorization.

630769680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 556 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 630769680 is about 25115.1285085305. The cubic root of 630769680 is about 857.6108558555.

The spelling of 630769680 in words is "six hundred thirty million, seven hundred sixty-nine thousand, six hundred eighty".