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122090304 = 263790841
BaseRepresentation
bin1110100011011…
…11001101000000
322111201211102010
413101233031000
5222223342204
620040452520
73011515260
oct721571500
9274654363
10122090304
1162a0a286
1234a7a140
131c3a94ab
14123017a0
15aab9d89
hex746f340

122090304 has 56 divisors (see below), whose sum is σ = 369181888. Its totient is φ = 34882560.

The previous prime is 122090303. The next prime is 122090327. The reversal of 122090304 is 403090221.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122090303) 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 7 ways as a sum of consecutive naturals, for example, 44077 + ... + 46764.

Almost surely, 2122090304 is an apocalyptic number.

122090304 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

122090304 is an abundant number, since it is smaller than the sum of its proper divisors (247091584).

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

122090304 is an equidigital number, since it uses as much as digits as its factorization.

122090304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90863 (or 90853 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 122090304 is about 11049.4481310154. The cubic root of 122090304 is about 496.0899073926.

The spelling of 122090304 in words is "one hundred twenty-two million, ninety thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 1344 90841 181682 272523 363364 545046 635887 726728 1090092 1271774 1453456 1907661 2180184 2543548 2906912 3815322 4360368 5087096 5813824 7630644 8720736 10174192 15261288 17441472 20348384 30522576 40696768 61045152 122090304