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11894880 = 253524781
BaseRepresentation
bin101101011000…
…000001100000
3211101022201010
4231120001200
511021114010
61102540520
7203050644
oct55300140
924338633
1011894880
116794888
123b97740
1326061ba
141818c24
15109e620
hexb58060

11894880 has 48 divisors (see below), whose sum is σ = 37470384. Its totient is φ = 3171840.

The previous prime is 11894873. The next prime is 11894881. The reversal of 11894880 is 8849811.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11894881) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11911 + ... + 12870.

It is an arithmetic number, because the mean of its divisors is an integer number (780633).

Almost surely, 211894880 is an apocalyptic number.

11894880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11894880 is an abundant number, since it is smaller than the sum of its proper divisors (25575504).

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

11894880 is a wasteful number, since it uses less digits than its factorization.

11894880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24799 (or 24791 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 39.

The square root of 11894880 is about 3448.8954753660. The cubic root of 11894880 is about 228.2723737789.

The spelling of 11894880 in words is "eleven million, eight hundred ninety-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 24781 49562 74343 99124 123905 148686 198248 247810 297372 371715 396496 495620 594744 743430 792992 991240 1189488 1486860 1982480 2378976 2973720 3964960 5947440 11894880