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630540064 = 257111715053
BaseRepresentation
bin100101100101010…
…100011100100000
31121221110202100201
4211211110130200
52242404240224
6142322354544
721424334140
oct4545243440
91557422321
10630540064
112a3a180a0
121571bba54
13a082c63b
145da56920
153a551a44
hex25954720

630540064 has 96 divisors (see below), whose sum is σ = 1638838656. Its totient is φ = 231198720.

The previous prime is 630540059. The next prime is 630540083. The reversal of 630540064 is 460045036.

It is a Harshad number since it is a multiple of its sum of digits (28).

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, 34362 + ... + 49414.

It is an arithmetic number, because the mean of its divisors is an integer number (17071236).

Almost surely, 2630540064 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 630540064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819419328).

630540064 is an abundant number, since it is smaller than the sum of its proper divisors (1008298592).

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

630540064 is a wasteful number, since it uses less digits than its factorization.

630540064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15098 (or 15090 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 630540064 is about 25110.5568237743. The cubic root of 630540064 is about 857.5067792645.

The spelling of 630540064 in words is "six hundred thirty million, five hundred forty thousand, sixty-four".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 56 68 77 88 112 119 136 154 176 187 224 238 272 308 352 374 476 544 616 748 952 1232 1309 1496 1904 2464 2618 2992 3808 5236 5984 10472 15053 20944 30106 41888 60212 105371 120424 165583 210742 240848 255901 331166 421484 481696 511802 662332 842968 1023604 1159081 1324664 1685936 1791307 2047208 2318162 2649328 2814911 3371872 3582614 4094416 4636324 5298656 5629822 7165228 8188832 9272648 11259644 14330456 18545296 19704377 22519288 28660912 37090592 39408754 45038576 57321824 78817508 90077152 157635016 315270032 630540064