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11890764 = 22323779113
BaseRepresentation
bin101101010111…
…000001001100
3211101010001200
4231113001030
511021001024
61102505500
7203032644
oct55270114
924333050
1011890764
116791786
123b95290
132604372
141817524
15109d2c9
hexb5704c

11890764 has 72 divisors (see below), whose sum is σ = 31536960. Its totient is φ = 3773952.

The previous prime is 11890757. The next prime is 11890771. The reversal of 11890764 is 46709811.

It is an interprime number because it is at equal distance from previous prime (11890757) and next prime (11890771).

It is a hoax number, since the sum of its digits (36) 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 (36).

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 23 ways as a sum of consecutive naturals, for example, 105172 + ... + 105284.

Almost surely, 211890764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11890764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15768480).

11890764 is an abundant number, since it is smaller than the sum of its proper divisors (19646196).

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

11890764 is a wasteful number, since it uses less digits than its factorization.

11890764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 234 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The square root of 11890764 is about 3448.2987109588. The cubic root of 11890764 is about 228.2460409509.

The spelling of 11890764 in words is "eleven million, eight hundred ninety thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 79 111 113 148 158 222 226 237 316 333 339 444 452 474 666 678 711 948 1017 1332 1356 1422 2034 2844 2923 4068 4181 5846 8362 8769 8927 11692 12543 16724 17538 17854 25086 26307 26781 35076 35708 37629 50172 52614 53562 75258 80343 105228 107124 150516 160686 321372 330299 660598 990897 1321196 1981794 2972691 3963588 5945382 11890764