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203394720 = 25353113669
BaseRepresentation
bin11000001111110…
…00111010100000
3112011201112002210
430013320322200
5404032112340
632103242120
75016553344
oct1407707240
9464645083
10203394720
11a48a1511
1258149340
13331a5509
141d027624
1512cca180
hexc1f8ea0

203394720 has 96 divisors (see below), whose sum is σ = 661409280. Its totient is φ = 52485120.

The previous prime is 203394713. The next prime is 203394731. The reversal of 203394720 is 27493302.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 8046 + ... + 21714.

It is an arithmetic number, because the mean of its divisors is an integer number (6889680).

Almost surely, 2203394720 is an apocalyptic number.

203394720 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 203394720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (330704640).

203394720 is an abundant number, since it is smaller than the sum of its proper divisors (458014560).

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

203394720 is a wasteful number, since it uses less digits than its factorization.

203394720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13718 (or 13710 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 30.

The square root of 203394720 is about 14261.6520782131. The cubic root of 203394720 is about 588.0937422851.

The spelling of 203394720 in words is "two hundred three million, three hundred ninety-four thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 32 40 48 60 62 80 93 96 120 124 155 160 186 240 248 310 372 465 480 496 620 744 930 992 1240 1488 1860 2480 2976 3720 4960 7440 13669 14880 27338 41007 54676 68345 82014 109352 136690 164028 205035 218704 273380 328056 410070 423739 437408 546760 656112 820140 847478 1093520 1271217 1312224 1640280 1694956 2118695 2187040 2542434 3280560 3389912 4237390 5084868 6356085 6561120 6779824 8474780 10169736 12712170 13559648 16949560 20339472 25424340 33899120 40678944 50848680 67798240 101697360 203394720