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900480020 = 2251117412351
BaseRepresentation
bin110101101011000…
…011110000010100
32022202102010100212
4311223003300110
53321010330040
6225204224552
731212645116
oct6553036024
92282363325
10900480020
1142232aa70
1221169b158
1311473401b
14878433b6
15540c3d65
hex35ac3c14

900480020 has 48 divisors (see below), whose sum is σ = 2064980736. Its totient is φ = 327120000.

The previous prime is 900480013. The next prime is 900480037. The reversal of 900480020 is 20084009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 381845 + ... + 384195.

It is an arithmetic number, because the mean of its divisors is an integer number (43020432).

Almost surely, 2900480020 is an apocalyptic number.

It is an amenable number.

900480020 is an abundant number, since it is smaller than the sum of its proper divisors (1164500716).

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

900480020 is a wasteful number, since it uses less digits than its factorization.

900480020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112 (or 4110 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

The square root of 900480020 is about 30007.9992668622. Note that the first 3 decimals coincide. The cubic root of 900480020 is about 965.6610038069.

The spelling of 900480020 in words is "nine hundred million, four hundred eighty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1741 2351 3482 4702 6964 8705 9404 11755 17410 19151 23510 25861 34820 38302 47020 51722 76604 95755 103444 129305 191510 258610 383020 517220 4093091 8186182 16372364 20465455 40930910 45024001 81861820 90048002 180096004 225120005 450240010 900480020