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640458000 = 2432537131723
BaseRepresentation
bin100110001011001…
…001110100010000
31122122010122012200
4212023021310100
52302424124000
6143315123200
721604542330
oct4613116420
91578118180
10640458000
112a9581636
1215a5a3500
13a28c2a40
14610b90c0
153b360500
hex262c9d10

640458000 has 960 divisors, whose sum is σ = 3041805312. Its totient is φ = 121651200.

The previous prime is 640457959. The next prime is 640458031. The reversal of 640458000 is 854046.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 27845989 + ... + 27846011.

Almost surely, 2640458000 is an apocalyptic number.

640458000 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 640458000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520902656).

640458000 is an abundant number, since it is smaller than the sum of its proper divisors (2401347312).

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

640458000 is a wasteful number, since it uses less digits than its factorization.

640458000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 640458000 is about 25307.2716822656. The cubic root of 640458000 is about 861.9793959721.

The spelling of 640458000 in words is "six hundred forty million, four hundred fifty-eight thousand".