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203140860 = 2235131371901
BaseRepresentation
bin11000001101110…
…10111011111100
3112011020121212120
430012322323330
5404001001420
632054002540
75014445256
oct1406727374
9464217776
10203140860
11a473880a
1258046450
1333116ac0
141cd9ccd6
1512c79d40
hexc1baefc

203140860 has 96 divisors (see below), whose sum is σ = 617343552. Its totient is φ = 49612800.

The previous prime is 203140859. The next prime is 203140867. The reversal of 203140860 is 68041302.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 203140860.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203140867) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 105910 + ... + 107810.

It is an arithmetic number, because the mean of its divisors is an integer number (6430662).

Almost surely, 2203140860 is an apocalyptic number.

203140860 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 203140860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (308671776).

203140860 is an abundant number, since it is smaller than the sum of its proper divisors (414202692).

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

203140860 is a wasteful number, since it uses less digits than its factorization.

203140860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2063 (or 2061 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 203140860 is about 14252.7492084861. The cubic root of 203140860 is about 587.8489708831.

The spelling of 203140860 in words is "two hundred three million, one hundred forty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 137 156 195 260 274 390 411 548 685 780 822 1370 1644 1781 1901 2055 2740 3562 3802 4110 5343 5703 7124 7604 8220 8905 9505 10686 11406 17810 19010 21372 22812 24713 26715 28515 35620 38020 49426 53430 57030 74139 98852 106860 114060 123565 148278 247130 260437 296556 370695 494260 520874 741390 781311 1041748 1302185 1482780 1562622 2604370 3125244 3385681 3906555 5208740 6771362 7813110 10157043 13542724 15626220 16928405 20314086 33856810 40628172 50785215 67713620 101570430 203140860