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890995140 = 22345778571
BaseRepresentation
bin110101000110111…
…000000111000100
32022002120020120000
4311012320013010
53311043321030
6224225041300
731036222320
oct6506700704
92262506500
10890995140
11417a41922
1220a486230
13112792a79
1486494980
155334d860
hex351b81c4

890995140 has 120 divisors (see below), whose sum is σ = 3194423232. Its totient is φ = 203653440.

The previous prime is 890995073. The next prime is 890995141. The reversal of 890995140 is 41599098.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (890995141) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 27946 + ... + 50625.

Almost surely, 2890995140 is an apocalyptic number.

It is an amenable number.

890995140 is an abundant number, since it is smaller than the sum of its proper divisors (2303428092).

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

890995140 is a wasteful number, since it uses less digits than its factorization.

890995140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78599 (or 78588 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 45.

The square root of 890995140 is about 29849.5417050246. The cubic root of 890995140 is about 962.2585494314.

The spelling of 890995140 in words is "eight hundred ninety million, nine hundred ninety-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 252 270 315 324 378 405 420 540 567 630 756 810 945 1134 1260 1620 1890 2268 2835 3780 5670 11340 78571 157142 235713 314284 392855 471426 549997 707139 785710 942852 1099994 1178565 1414278 1571420 1649991 2121417 2199988 2357130 2749985 2828556 3299982 3535695 4242834 4714260 4949973 5499970 6364251 6599964 7071390 8249955 8485668 9899946 10607085 10999940 12728502 14142780 14849919 16499910 19799892 21214170 24749865 25457004 29699838 31821255 32999820 42428340 44549757 49499730 59399676 63642510 74249595 89099514 98999460 127285020 148499190 178199028 222748785 296998380 445497570 890995140