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86994900 = 22325296661
BaseRepresentation
bin1010010111101…
…10111111010100
320001200210120100
411023312333110
5134232314100
612344334100
72104305306
oct513667724
9201623510
1086994900
1145119613
1225174330
131503c195
14b7a7976
157986400
hex52f6fd4

86994900 has 54 divisors (see below), whose sum is σ = 272683502. Its totient is φ = 23198400.

The previous prime is 86994883. The next prime is 86994917. The reversal of 86994900 is 949968.

It is an interprime number because it is at equal distance from previous prime (86994883) and next prime (86994917).

It can be written as a sum of positive squares in 3 ways, for example, as 17539344 + 69455556 = 4188^2 + 8334^2 .

It is a super-2 number, since 2×869949002 = 15136225252020000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

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 17 ways as a sum of consecutive naturals, for example, 47431 + ... + 49230.

Almost surely, 286994900 is an apocalyptic number.

It is an amenable number.

86994900 is an abundant number, since it is smaller than the sum of its proper divisors (185688602).

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

86994900 is a wasteful number, since it uses less digits than its factorization.

86994900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96681 (or 96671 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The square root of 86994900 is about 9327.1056603858. The cubic root of 86994900 is about 443.0961036313.

The spelling of 86994900 in words is "eighty-six million, nine hundred ninety-four thousand, nine hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 96661 193322 289983 386644 483305 579966 869949 966610 1159932 1449915 1739898 1933220 2416525 2899830 3479796 4349745 4833050 5799660 7249575 8699490 9666100 14499150 17398980 21748725 28998300 43497450 86994900