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11679140 = 2251153087
BaseRepresentation
bin101100100011…
…010110100100
3210222100202202
4230203112210
510442213030
61054154032
7201161654
oct54432644
923870682
1011679140
116657790
123ab2918
13255bc45
1417a0364
15105a745
hexb235a4

11679140 has 24 divisors (see below), whose sum is σ = 26756352. Its totient is φ = 4246880.

The previous prime is 11679131. The next prime is 11679163. The reversal of 11679140 is 4197611.

It is a super-2 number, since 2×116791402 = 272804622279200, which contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 26324 + ... + 26763.

It is an arithmetic number, because the mean of its divisors is an integer number (1114848).

Almost surely, 211679140 is an apocalyptic number.

11679140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11679140 is an abundant number, since it is smaller than the sum of its proper divisors (15077212).

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

11679140 is a wasteful number, since it uses less digits than its factorization.

11679140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53107 (or 53105 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 29.

The square root of 11679140 is about 3417.4756765777. The cubic root of 11679140 is about 226.8838700375.

The spelling of 11679140 in words is "eleven million, six hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 53087 106174 212348 265435 530870 583957 1061740 1167914 2335828 2919785 5839570 11679140