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646738140 = 2235175211217
BaseRepresentation
bin100110100011000…
…111000011011100
31200001221200221110
4212203013003130
52311031110030
6144101502020
722012116636
oct4643070334
91601850843
10646738140
11302080a34
12160711910
13a3cb13b9
1461c71a56
153bba11b0
hex268c70dc

646738140 has 96 divisors (see below), whose sum is σ = 1922647104. Its totient is φ = 161873920.

The previous prime is 646738129. The next prime is 646738177. The reversal of 646738140 is 41837646.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530812 + ... + 532028.

It is an arithmetic number, because the mean of its divisors is an integer number (20027574).

Almost surely, 2646738140 is an apocalyptic number.

646738140 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 646738140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (961323552).

646738140 is an abundant number, since it is smaller than the sum of its proper divisors (1275908964).

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

646738140 is a wasteful number, since it uses less digits than its factorization.

646738140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1767 (or 1765 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The square root of 646738140 is about 25431.0467735797. The cubic root of 646738140 is about 864.7876743944.

The spelling of 646738140 in words is "six hundred forty-six million, seven hundred thirty-eight thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 521 1020 1042 1217 1563 2084 2434 2605 3126 3651 4868 5210 6085 6252 7302 7815 8857 10420 12170 14604 15630 17714 18255 20689 24340 26571 31260 35428 36510 41378 44285 53142 62067 73020 82756 88570 103445 106284 124134 132855 177140 206890 248268 265710 310335 413780 531420 620670 634057 1241340 1268114 1902171 2536228 3170285 3804342 6340570 7608684 9510855 10778969 12681140 19021710 21557938 32336907 38043420 43115876 53894845 64673814 107789690 129347628 161684535 215579380 323369070 646738140