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203442720 = 25351332603
BaseRepresentation
bin11000010000001…
…00101000100000
3112011210221221120
430020010220200
5404040131340
632104252240
75020143315
oct1410045040
9464727846
10203442720
11a4924588
1258171080
13331c1310
141d03ad0c
1512cd94d0
hexc204a20

203442720 has 96 divisors (see below), whose sum is σ = 690161472. Its totient is φ = 50076672.

The previous prime is 203442683. The next prime is 203442769. The reversal of 203442720 is 27244302.

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 (24).

It is an unprimeable number.

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, 10062 + ... + 22541.

It is an arithmetic number, because the mean of its divisors is an integer number (7189182).

Almost surely, 2203442720 is an apocalyptic number.

203442720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203442720 is an abundant number, since it is smaller than the sum of its proper divisors (486718752).

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

203442720 is a wasteful number, since it uses less digits than its factorization.

203442720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32634 (or 32626 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 24.

The square root of 203442720 is about 14263.3348134299. The cubic root of 203442720 is about 588.1400009086.

The spelling of 203442720 in words is "two hundred three million, four hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 32603 65206 97809 130412 163015 195618 260824 326030 391236 423839 489045 521648 652060 782472 847678 978090 1043296 1271517 1304120 1564944 1695356 1956180 2119195 2543034 2608240 3129888 3390712 3912360 4238390 5086068 5216480 6357585 6781424 7824720 8476780 10172136 12715170 13562848 15649440 16953560 20344272 25430340 33907120 40688544 50860680 67814240 101721360 203442720