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11974920 = 2335731367
BaseRepresentation
bin101101101011…
…100100001000
3211112101111120
4231223210020
511031144140
61104355240
7203533206
oct55534410
924471446
1011974920
116839a31
124015b20
132633769
14183a076
1510b81d0
hexb6b908

11974920 has 64 divisors (see below), whose sum is σ = 36443520. Its totient is φ = 3147264.

The previous prime is 11974913. The next prime is 11974933. The reversal of 11974920 is 2947911.

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 15 ways as a sum of consecutive naturals, for example, 8077 + ... + 9443.

It is an arithmetic number, because the mean of its divisors is an integer number (569430).

Almost surely, 211974920 is an apocalyptic number.

11974920 is a gapful number since it is divisible by the number (10) 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 11974920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18221760).

11974920 is an abundant number, since it is smaller than the sum of its proper divisors (24468600).

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

11974920 is a wasteful number, since it uses less digits than its factorization.

11974920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1450 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 33.

The square root of 11974920 is about 3460.4797355280. The cubic root of 11974920 is about 228.7832404142.

The spelling of 11974920 in words is "eleven million, nine hundred seventy-four thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 73 120 146 219 292 365 438 584 730 876 1095 1367 1460 1752 2190 2734 2920 4101 4380 5468 6835 8202 8760 10936 13670 16404 20505 27340 32808 41010 54680 82020 99791 164040 199582 299373 399164 498955 598746 798328 997910 1197492 1496865 1995820 2394984 2993730 3991640 5987460 11974920