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10679140 = 22519157179
BaseRepresentation
bin101000101111…
…001101100100
3202002120000201
4220233031210
510213213030
61020520244
7156525343
oct50571544
922076021
1010679140
11603443a
1236b0084
13229ba24
1415bdb5a
15e0e2ca
hexa2f364

10679140 has 48 divisors (see below), whose sum is σ = 23889600. Its totient is φ = 3998592.

The previous prime is 10679101. The next prime is 10679161. The reversal of 10679140 is 4197601.

10679140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106791402 = 228088062279200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10679099 and 10679108.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59571 + ... + 59749.

It is an arithmetic number, because the mean of its divisors is an integer number (497700).

Almost surely, 210679140 is an apocalyptic number.

10679140 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 10679140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11944800).

10679140 is an abundant number, since it is smaller than the sum of its proper divisors (13210460).

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

10679140 is a wasteful number, since it uses less digits than its factorization.

10679140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364 (or 362 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 10679140 is about 3267.8953471615. The cubic root of 10679140 is about 220.2142540839.

The spelling of 10679140 in words is "ten million, six hundred seventy-nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 157 179 190 314 358 380 628 716 785 895 1570 1790 2983 3140 3401 3580 5966 6802 11932 13604 14915 17005 28103 29830 34010 56206 59660 68020 112412 140515 281030 533957 562060 1067914 2135828 2669785 5339570 10679140