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200354960 = 24513383503
BaseRepresentation
bin10111111000100…
…10110010010000
3111222000002100002
423330102302100
5402242324320
631514145132
74651663151
oct1374226220
9458002302
10200354960
11a3105713
12571221a8
133267ca40
141c875928
15128c9675
hexbf12c90

200354960 has 80 divisors (see below), whose sum is σ = 503967744. Its totient is φ = 73637376.

The previous prime is 200354941. The next prime is 200355059. The reversal of 200354960 is 69453002.

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

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 15 ways as a sum of consecutive naturals, for example, 398069 + ... + 398571.

Almost surely, 2200354960 is an apocalyptic number.

200354960 is a gapful number since it is divisible by the number (20) 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 200354960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251983872).

200354960 is an abundant number, since it is smaller than the sum of its proper divisors (303612784).

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

200354960 is a wasteful number, since it uses less digits than its factorization.

200354960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 912 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 200354960 is about 14154.6797915036. The cubic root of 200354960 is about 585.1493129472.

The spelling of 200354960 in words is "two hundred million, three hundred fifty-four thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 383 503 520 766 1006 1040 1532 1915 2012 2515 3064 3830 4024 4979 5030 6128 6539 7660 8048 9958 10060 13078 15320 19916 20120 24895 26156 30640 32695 39832 40240 49790 52312 65390 79664 99580 104624 130780 192649 199160 261560 385298 398320 523120 770596 963245 1541192 1926490 2504437 3082384 3852980 5008874 7705960 10017748 12522185 15411920 20035496 25044370 40070992 50088740 100177480 200354960