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11302992 = 2432531481
BaseRepresentation
bin101011000111…
…100001010000
3210021020210100
4223013201100
510343143432
61042132400
7165034221
oct53074120
923236710
1011302992
116420118
123951100
13245997c
141703248
15ed407c
hexac7850

11302992 has 60 divisors (see below), whose sum is σ = 32251284. Its totient is φ = 3694080.

The previous prime is 11302979. The next prime is 11303021. The reversal of 11302992 is 29920311.

It can be written as a sum of positive squares in 2 ways, for example, as 6533136 + 4769856 = 2556^2 + 2184^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6892 + ... + 8372.

Almost surely, 211302992 is an apocalyptic number.

11302992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11302992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16125642).

11302992 is an abundant number, since it is smaller than the sum of its proper divisors (20948292).

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

11302992 is a wasteful number, since it uses less digits than its factorization.

11302992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1548 (or 1539 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 11302992 is about 3361.9922664991. The cubic root of 11302992 is about 224.4215065130.

The spelling of 11302992 in words is "eleven million, three hundred two thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 53 72 106 144 159 212 318 424 477 636 848 954 1272 1481 1908 2544 2962 3816 4443 5924 7632 8886 11848 13329 17772 23696 26658 35544 53316 71088 78493 106632 156986 213264 235479 313972 470958 627944 706437 941916 1255888 1412874 1883832 2825748 3767664 5651496 11302992