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640466000 = 2453431743
BaseRepresentation
bin100110001011001…
…011110001010000
31122122011001011222
4212023023301100
52302424403000
6143315224212
721604604546
oct4613136120
91578131158
10640466000
112a9587649
1215a5a8068
13a28c6585
14610bbd96
153b362a85
hex262cbc50

640466000 has 80 divisors (see below), whose sum is σ = 1554329088. Its totient is φ = 255248000.

The previous prime is 640465999. The next prime is 640466009. The reversal of 640466000 is 664046.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (640466009) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 861629 + ... + 862371.

Almost surely, 2640466000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 640466000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (777164544).

640466000 is an abundant number, since it is smaller than the sum of its proper divisors (913863088).

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

640466000 is a wasteful number, since it uses less digits than its factorization.

640466000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1197 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

The square root of 640466000 is about 25307.4297391102. The cubic root of 640466000 is about 861.9829849696.

The spelling of 640466000 in words is "six hundred forty million, four hundred sixty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 431 500 743 862 1000 1486 1724 2000 2155 2972 3448 3715 4310 5944 6896 7430 8620 10775 11888 14860 17240 18575 21550 29720 34480 37150 43100 53875 59440 74300 86200 92875 107750 148600 172400 185750 215500 297200 320233 371500 431000 640466 743000 862000 1280932 1486000 1601165 2561864 3202330 5123728 6404660 8005825 12809320 16011650 25618640 32023300 40029125 64046600 80058250 128093200 160116500 320233000 640466000