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203668992 = 29351637
BaseRepresentation
bin11000010001110…
…11111000000000
3112012020110100000
430020323320000
5404114401432
632113200000
75022105102
oct1410737000
9465213300
10203668992
11a4a6958a
1258260000
13332702c7
141d099572
1512d3157c
hexc23be00

203668992 has 120 divisors (see below), whose sum is σ = 609945336. Its totient is φ = 67848192.

The previous prime is 203668981. The next prime is 203669009. The reversal of 203668992 is 299866302.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 123598 + ... + 125234.

Almost surely, 2203668992 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 203668992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304972668).

203668992 is an abundant number, since it is smaller than the sum of its proper divisors (406276344).

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

203668992 is an frugal number, since it uses more digits than its factorization.

203668992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1670 (or 1642 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The square root of 203668992 is about 14271.2645550421. The cubic root of 203668992 is about 588.3579661210.

The spelling of 203668992 in words is "two hundred three million, six hundred sixty-eight thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 768 864 972 1152 1296 1536 1637 1728 1944 2304 2592 3274 3456 3888 4608 4911 5184 6548 6912 7776 9822 10368 13096 13824 14733 15552 19644 20736 26192 29466 31104 39288 41472 44199 52384 58932 62208 78576 88398 104768 117864 124416 132597 157152 176796 209536 235728 265194 314304 353592 397791 419072 471456 530388 628608 707184 795582 838144 942912 1060776 1257216 1414368 1591164 1885824 2121552 2514432 2828736 3182328 3771648 4243104 5657472 6364656 7543296 8486208 11314944 12729312 16972416 22629888 25458624 33944832 50917248 67889664 101834496 203668992