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11401292 = 2271929739
BaseRepresentation
bin101011011111…
…100001001100
3210110020122002
4223133201030
510404320132
61044211432
7165623630
oct53374114
923406562
1011401292
116487a61
123999b78
132492636
14172adc0
151003262
hexadf84c

11401292 has 48 divisors (see below), whose sum is σ = 24864000. Its totient is φ = 4463424.

The previous prime is 11401289. The next prime is 11401303. The reversal of 11401292 is 29210411.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 15059 + ... + 15797.

It is an arithmetic number, because the mean of its divisors is an integer number (518000).

Almost surely, 211401292 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 11401292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12432000).

11401292 is an abundant number, since it is smaller than the sum of its proper divisors (13462708).

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

11401292 is a wasteful number, since it uses less digits than its factorization.

11401292 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 798 (or 796 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 20.

The square root of 11401292 is about 3376.5799264937. The cubic root of 11401292 is about 225.0702134779.

The spelling of 11401292 in words is "eleven million, four hundred one thousand, two hundred ninety-two".

Divisors: 1 2 4 7 14 19 28 29 38 58 76 116 133 203 266 406 532 551 739 812 1102 1478 2204 2956 3857 5173 7714 10346 14041 15428 20692 21431 28082 42862 56164 85724 98287 150017 196574 300034 393148 407189 600068 814378 1628756 2850323 5700646 11401292