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900793140 = 2235131154863
BaseRepresentation
bin110101101100010…
…000001100110100
32022210000000212220
4311230100030310
53321100340030
6225215042340
731215421032
oct6554201464
92283000786
10900793140
11422524245
122118103b0
131148136c0
14878c5552
1554136a10
hex35b10334

900793140 has 48 divisors (see below), whose sum is σ = 2716240128. Its totient is φ = 221733504.

The previous prime is 900793129. The next prime is 900793163. The reversal of 900793140 is 41397009.

It is a super-2 number, since 2×9007931402 = 1622856562142119200, which contains 22 as substring.

It is a congruent number.

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, 576652 + ... + 578211.

It is an arithmetic number, because the mean of its divisors is an integer number (56588336).

Almost surely, 2900793140 is an apocalyptic number.

It is an amenable number.

900793140 is an abundant number, since it is smaller than the sum of its proper divisors (1815446988).

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

900793140 is a wasteful number, since it uses less digits than its factorization.

900793140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1154888 (or 1154886 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 900793140 is about 30013.2160889166. The cubic root of 900793140 is about 965.7729192026.

The spelling of 900793140 in words is "nine hundred million, seven hundred ninety-three thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1154863 2309726 3464589 4619452 5774315 6929178 11548630 13858356 15013219 17322945 23097260 30026438 34645890 45039657 60052876 69291780 75066095 90079314 150132190 180158628 225198285 300264380 450396570 900793140