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203139040 = 25513127769
BaseRepresentation
bin11000001101110…
…10011111100000
3112011020112101011
430012322133200
5404000422130
632053550304
75014440046
oct1406723740
9464215334
10203139040
11a4737405
1258045394
1333116020
141cd9c396
1512c7952a
hexc1ba7e0

203139040 has 96 divisors (see below), whose sum is σ = 521579520. Its totient is φ = 74317824.

The previous prime is 203139031. The next prime is 203139043. The reversal of 203139040 is 40931302.

203139040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203139043) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 263776 + ... + 264544.

It is an arithmetic number, because the mean of its divisors is an integer number (5433120).

Almost surely, 2203139040 is an apocalyptic number.

203139040 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 203139040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260789760).

203139040 is an abundant number, since it is smaller than the sum of its proper divisors (318440480).

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

203139040 is a wasteful number, since it uses less digits than its factorization.

203139040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

The square root of 203139040 is about 14252.6853610118. The cubic root of 203139040 is about 587.8472153060.

The spelling of 203139040 in words is "two hundred three million, one hundred thirty-nine thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 80 104 127 130 160 208 254 260 416 508 520 635 769 1016 1040 1270 1538 1651 2032 2080 2540 3076 3302 3845 4064 5080 6152 6604 7690 8255 9997 10160 12304 13208 15380 16510 19994 20320 24608 26416 30760 33020 39988 49985 52832 61520 66040 79976 97663 99970 123040 132080 159952 195326 199940 264160 319904 390652 399880 488315 781304 799760 976630 1269619 1562608 1599520 1953260 2539238 3125216 3906520 5078476 6348095 7813040 10156952 12696190 15626080 20313904 25392380 40627808 50784760 101569520 203139040