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643876740 = 2232513275161
BaseRepresentation
bin100110011000001…
…100011110000100
31122212120022211200
4212120030132010
52304313023430
6143520302500
721645601443
oct4630143604
91585508750
10643876740
113004a7141
1215b771a30
13a351bb70
1461728d5a
153b7d8460
hex2660c784

643876740 has 72 divisors (see below), whose sum is σ = 2103338328. Its totient is φ = 158492160.

The previous prime is 643876687. The next prime is 643876747. The reversal of 643876740 is 47678346.

It can be written as a sum of positive squares in 4 ways, for example, as 91814724 + 552062016 = 9582^2 + 23496^2 .

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 (643876747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135241 + ... + 139920.

Almost surely, 2643876740 is an apocalyptic number.

643876740 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

643876740 is an abundant number, since it is smaller than the sum of its proper divisors (1459461588).

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

643876740 is a wasteful number, since it uses less digits than its factorization.

643876740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275189 (or 275184 counting only the distinct ones).

The product of its (nonzero) digits is 677376, while the sum is 45.

The square root of 643876740 is about 25374.7264024659. The cubic root of 643876740 is about 863.5104125701.

The spelling of 643876740 in words is "six hundred forty-three million, eight hundred seventy-six thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 275161 550322 825483 1100644 1375805 1650966 2476449 2751610 3301932 3577093 4127415 4952898 5503220 7154186 8254830 9905796 10731279 12382245 14308372 16509660 17885465 21462558 24764490 32193837 35770930 42925116 49528980 53656395 64387674 71541860 107312790 128775348 160969185 214625580 321938370 643876740