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1900730040 = 2335111439947
BaseRepresentation
bin111000101001010…
…1101011010111000
311220110120002102220
41301102231122320
512343041330130
6512335124040
765046636666
oct16122553270
94813502386
101900730040
11895a04680
12450673620
13243a2ac41
14140617c36
15b1d04410
hex714ad6b8

1900730040 has 64 divisors (see below), whose sum is σ = 6220575360. Its totient is φ = 460782720.

The previous prime is 1900730011. The next prime is 1900730053. The reversal of 1900730040 is 400370091.

1900730040 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×19007300402 = 7225549369916803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 718654 + ... + 721293.

It is an arithmetic number, because the mean of its divisors is an integer number (97196490).

Almost surely, 21900730040 is an apocalyptic number.

1900730040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1900730040 is an abundant number, since it is smaller than the sum of its proper divisors (4319845320).

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

1900730040 is a wasteful number, since it uses less digits than its factorization.

1900730040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1439972 (or 1439968 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 24.

The square root of 1900730040 is about 43597.3627642774. The cubic root of 1900730040 is about 1238.7209409039.

The spelling of 1900730040 in words is "one billion, nine hundred million, seven hundred thirty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 1439947 2879894 4319841 5759788 7199735 8639682 11519576 14399470 15839417 17279364 21599205 28798940 31678834 34558728 43198410 47518251 57597880 63357668 79197085 86396820 95036502 126715336 158394170 172793640 190073004 237591255 316788340 380146008 475182510 633576680 950365020 1900730040