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11381712 = 243317649
BaseRepresentation
bin101011011010…
…101111010000
3210102020202220
4223122233100
510403203322
61043541040
7165512556
oct53325720
923366686
1011381712
116474281
12398a780
132486754
141723bd6
15eec55c
hexadabd0

11381712 has 40 divisors (see below), whose sum is σ = 30355200. Its totient is φ = 3671040.

The previous prime is 11381693. The next prime is 11381719. The reversal of 11381712 is 21718311.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11381719) 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, 2337 + ... + 5312.

It is an arithmetic number, because the mean of its divisors is an integer number (758880).

Almost surely, 211381712 is an apocalyptic number.

11381712 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11381712 is an abundant number, since it is smaller than the sum of its proper divisors (18973488).

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

11381712 is a wasteful number, since it uses less digits than its factorization.

11381712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7691 (or 7685 counting only the distinct ones).

The product of its digits is 336, while the sum is 24.

The square root of 11381712 is about 3373.6792971473. The cubic root of 11381712 is about 224.9412982665.

It can be divided in two parts, 1138 and 1712, that added together give a triangular number (2850 = T75).

The spelling of 11381712 in words is "eleven million, three hundred eighty-one thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 48 62 93 124 186 248 372 496 744 1488 7649 15298 22947 30596 45894 61192 91788 122384 183576 237119 367152 474238 711357 948476 1422714 1896952 2845428 3793904 5690856 11381712