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11974144 = 29713257
BaseRepresentation
bin101101101011…
…011000000000
3211112100102211
4231223120000
511031133034
61104351504
7203531020
oct55533000
924470384
1011974144
116839396
124015594
1326332c0
141839a80
1510b7d64
hexb6b600

11974144 has 80 divisors (see below), whose sum is σ = 29560608. Its totient is φ = 4718592.

The previous prime is 11974121. The next prime is 11974169. The reversal of 11974144 is 44147911.

It is a nialpdrome in base 8.

It is a zygodrome in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46464 + ... + 46720.

Almost surely, 211974144 is an apocalyptic number.

11974144 is a gapful number since it is divisible by the number (14) 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 11974144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14780304).

11974144 is an abundant number, since it is smaller than the sum of its proper divisors (17586464).

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

11974144 is an equidigital number, since it uses as much as digits as its factorization.

11974144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295 (or 279 counting only the distinct ones).

The product of its digits is 4032, while the sum is 31.

The square root of 11974144 is about 3460.3676105293. The cubic root of 11974144 is about 228.7782984291.

The spelling of 11974144 in words is "eleven million, nine hundred seventy-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 64 91 104 112 128 182 208 224 256 257 364 416 448 512 514 728 832 896 1028 1456 1664 1792 1799 2056 2912 3328 3341 3584 3598 4112 5824 6656 6682 7196 8224 11648 13364 14392 16448 23296 23387 26728 28784 32896 46592 46774 53456 57568 65792 93548 106912 115136 131584 187096 213824 230272 374192 427648 460544 748384 855296 921088 1496768 1710592 2993536 5987072 11974144