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640968400 = 24523151691
BaseRepresentation
bin100110001101000…
…110011011010000
31122200002120100101
4212031012123100
52303041442100
6143334102144
721612066352
oct4615063320
91580076311
10640968400
112a98a0056
1215a7aa954
13a2a41157
14611ad0d2
153b41186a
hex263466d0

640968400 has 60 divisors (see below), whose sum is σ = 1589632384. Its totient is φ = 248112000.

The previous prime is 640968371. The next prime is 640968443. The reversal of 640968400 is 4869046.

It is a self number, because there is not a number n which added to its sum of digits gives 640968400.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13446 + ... + 38245.

Almost surely, 2640968400 is an apocalyptic number.

It is an amenable number.

640968400 is an abundant number, since it is smaller than the sum of its proper divisors (948663984).

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

640968400 is a wasteful number, since it uses less digits than its factorization.

640968400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51740 (or 51729 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 37.

The square root of 640968400 is about 25317.3537321735. The cubic root of 640968400 is about 862.2083141653.

The spelling of 640968400 in words is "six hundred forty million, nine hundred sixty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 31 40 50 62 80 100 124 155 200 248 310 400 496 620 775 1240 1550 2480 3100 6200 12400 51691 103382 206764 258455 413528 516910 827056 1033820 1292275 1602421 2067640 2584550 3204842 4135280 5169100 6409684 8012105 10338200 12819368 16024210 20676400 25638736 32048420 40060525 64096840 80121050 128193680 160242100 320484200 640968400