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890783136 = 25331760647
BaseRepresentation
bin110101000110000…
…100010110100000
32022002011110202000
4311012010112200
53311020030021
6224220324000
731034350245
oct6506042640
92262143660
10890783136
11417907611
1220a3a3600
1311271a419
148643b5cc
155330ab26
hex351845a0

890783136 has 96 divisors (see below), whose sum is σ = 2750993280. Its totient is φ = 279456768.

The previous prime is 890783093. The next prime is 890783147. The reversal of 890783136 is 631387098.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a junction number, because it is equal to n+sod(n) for n = 890783091 and 890783100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15636 + ... + 45011.

It is an arithmetic number, because the mean of its divisors is an integer number (28656180).

Almost surely, 2890783136 is an apocalyptic number.

It is an amenable number.

890783136 is an abundant number, since it is smaller than the sum of its proper divisors (1860210144).

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

890783136 is a wasteful number, since it uses less digits than its factorization.

890783136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60683 (or 60669 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The square root of 890783136 is about 29845.9902834535. The cubic root of 890783136 is about 962.1822232224.

The spelling of 890783136 in words is "eight hundred ninety million, seven hundred eighty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 68 72 96 102 108 136 144 153 204 216 272 288 306 408 432 459 544 612 816 864 918 1224 1632 1836 2448 3672 4896 7344 14688 60647 121294 181941 242588 363882 485176 545823 727764 970352 1030999 1091646 1455528 1637469 1940704 2061998 2183292 2911056 3092997 3274938 4123996 4366584 5822112 6185994 6549876 8247992 8733168 9278991 12371988 13099752 16495984 17466336 18557982 24743976 26199504 27836973 32991968 37115964 49487952 52399008 55673946 74231928 98975904 111347892 148463856 222695784 296927712 445391568 890783136