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11878896 = 243614057
BaseRepresentation
bin101101010100…
…000111110000
3211100111210010
4231110013300
511020111041
61102334520
7202653231
oct55240760
924314703
1011878896
116783877
123b8a440
1325cbb43
141813088
151099a16
hexb541f0

11878896 has 40 divisors (see below), whose sum is σ = 31197904. Its totient is φ = 3893760.

The previous prime is 11878891. The next prime is 11878927. The reversal of 11878896 is 69887811.

It is a super-2 number, since 2×118788962 = 282216340357632, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11878891) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 900 + ... + 4956.

Almost surely, 211878896 is an apocalyptic number.

11878896 is a gapful number since it is divisible by the number (16) 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 11878896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15598952).

11878896 is an abundant number, since it is smaller than the sum of its proper divisors (19319008).

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

11878896 is a wasteful number, since it uses less digits than its factorization.

11878896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4129 (or 4123 counting only the distinct ones).

The product of its digits is 193536, while the sum is 48.

The square root of 11878896 is about 3446.5774327585. The cubic root of 11878896 is about 228.1700793131.

The spelling of 11878896 in words is "eleven million, eight hundred seventy-eight thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 4057 8114 12171 16228 24342 32456 48684 64912 97368 194736 247477 494954 742431 989908 1484862 1979816 2969724 3959632 5939448 11878896