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11373984 = 253273541
BaseRepresentation
bin101011011000…
…110110100000
3210101212011200
4223120312200
510402431414
61043441200
7165451206
oct53306640
923355150
1011373984
116469496
123986200
13248308b
141721076
15eea109
hexad8da0

11373984 has 72 divisors (see below), whose sum is σ = 32848452. Its totient is φ = 3732480.

The previous prime is 11373979. The next prime is 11373991. The reversal of 11373984 is 48937311.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 11370384 + 3600 = 3372^2 + 60^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its 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 11 ways as a sum of consecutive naturals, for example, 20754 + ... + 21294.

Almost surely, 211373984 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 11373984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16424226).

11373984 is an abundant number, since it is smaller than the sum of its proper divisors (21474468).

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

11373984 is a wasteful number, since it uses less digits than its factorization.

11373984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 630 (or 619 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 11373984 is about 3372.5337655834. The cubic root of 11373984 is about 224.8903762278.

The spelling of 11373984 in words is "eleven million, three hundred seventy-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 73 96 144 146 219 288 292 438 541 584 657 876 1082 1168 1314 1623 1752 2164 2336 2628 3246 3504 4328 4869 5256 6492 7008 8656 9738 10512 12984 17312 19476 21024 25968 38952 39493 51936 77904 78986 118479 155808 157972 236958 315944 355437 473916 631888 710874 947832 1263776 1421748 1895664 2843496 3791328 5686992 11373984