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203426960 = 24511317457
BaseRepresentation
bin11000010000000…
…00110010010000
3112011210011022212
430020000302100
5404034130320
632104051252
75020046342
oct1410006220
9464704285
10203426960
11a4913760
1258163b28
13331b70a9
141d035292
1512cd49c5
hexc200c90

203426960 has 80 divisors (see below), whose sum is σ = 532680192. Its totient is φ = 71577600.

The previous prime is 203426933. The next prime is 203426969. The reversal of 203426960 is 69624302.

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

It is not an unprimeable number, because it can be changed into a prime (203426969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23552 + ... + 31008.

Almost surely, 2203426960 is an apocalyptic number.

203426960 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 203426960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266340096).

203426960 is an abundant number, since it is smaller than the sum of its proper divisors (329253232).

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

203426960 is a wasteful number, since it uses less digits than its factorization.

203426960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7512 (or 7506 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 32.

The square root of 203426960 is about 14262.7823372580. The cubic root of 203426960 is about 588.1248134629.

The spelling of 203426960 in words is "two hundred three million, four hundred twenty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 40 44 55 62 80 88 110 124 155 176 220 248 310 341 440 496 620 682 880 1240 1364 1705 2480 2728 3410 5456 6820 7457 13640 14914 27280 29828 37285 59656 74570 82027 119312 149140 164054 231167 298280 328108 410135 462334 596560 656216 820270 924668 1155835 1312432 1640540 1849336 2311670 2542837 3281080 3698672 4623340 5085674 6562160 9246680 10171348 12714185 18493360 20342696 25428370 40685392 50856740 101713480 203426960