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11377992 = 2333141373
BaseRepresentation
bin101011011001…
…110101001000
3210102001200010
4223121311020
510403043432
61043511520
7165465663
oct53316510
923361603
1011377992
1164714aa
1239885a0
132484b52
1417226da
15eeb3cc
hexad9d48

11377992 has 64 divisors (see below), whose sum is σ = 30159360. Its totient is φ = 3571200.

The previous prime is 11377967. The next prime is 11377997. The reversal of 11377992 is 29977311.

11377992 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 11377992.

It is not an unprimeable number, because it can be changed into a prime (11377997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30318 + ... + 30690.

It is an arithmetic number, because the mean of its divisors is an integer number (471240).

Almost surely, 211377992 is an apocalyptic number.

11377992 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 11377992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15079680).

11377992 is an abundant number, since it is smaller than the sum of its proper divisors (18781368).

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

11377992 is a wasteful number, since it uses less digits than its factorization.

11377992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 454 (or 450 counting only the distinct ones).

The product of its digits is 23814, while the sum is 39.

The square root of 11377992 is about 3373.1279252350. The cubic root of 11377992 is about 224.9167889832.

The spelling of 11377992 in words is "eleven million, three hundred seventy-seven thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 24 31 41 62 82 93 123 124 164 186 246 248 328 372 373 492 744 746 984 1119 1271 1492 2238 2542 2984 3813 4476 5084 7626 8952 10168 11563 15252 15293 23126 30504 30586 34689 45879 46252 61172 69378 91758 92504 122344 138756 183516 277512 367032 474083 948166 1422249 1896332 2844498 3792664 5688996 11377992