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640710144 = 2932178179
BaseRepresentation
bin100110001100000…
…111011000000000
31122122121110002100
4212030013120000
52303010211034
6143324350400
721606642414
oct4614073000
91578543070
10640710144
112a9734018
1215a6a5400
13a2980739
1461142d44
153b3b0099
hex26307600

640710144 has 120 divisors (see below), whose sum is σ = 1958144760. Its totient is φ = 200982528.

The previous prime is 640710143. The next prime is 640710193. The reversal of 640710144 is 441017046.

640710144 is a `hidden beast` number, since 640 + 7 + 1 + 0 + 14 + 4 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640710143) 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, 74247 + ... + 82425.

It is an arithmetic number, because the mean of its divisors is an integer number (16317873).

Almost surely, 2640710144 is an apocalyptic number.

640710144 is a gapful number since it is divisible by the number (64) 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 640710144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (979072380).

640710144 is an abundant number, since it is smaller than the sum of its proper divisors (1317434616).

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

640710144 is a wasteful number, since it uses less digits than its factorization.

640710144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8220 (or 8201 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 640710144 is about 25312.2528432378. The cubic root of 640710144 is about 862.0924996245.

The spelling of 640710144 in words is "six hundred forty million, seven hundred ten thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 1088 1152 1224 1536 1632 2176 2304 2448 3264 4352 4608 4896 6528 8179 8704 9792 13056 16358 19584 24537 26112 32716 39168 49074 65432 73611 78336 98148 130864 139043 147222 196296 261728 278086 294444 392592 417129 523456 556172 588888 785184 834258 1046912 1112344 1177776 1251387 1570368 1668516 2093824 2224688 2355552 2502774 3140736 3337032 4187648 4449376 4711104 5005548 6281472 6674064 8898752 9422208 10011096 12562944 13348128 17797504 18844416 20022192 26696256 35595008 37688832 40044384 53392512 71190016 80088768 106785024 160177536 213570048 320355072 640710144