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10976140 = 225778401
BaseRepresentation
bin101001110111…
…101110001100
3202122122102201
4221313232030
510302214030
61031131244
7162203260
oct51675614
922578381
1010976140
11621759a
123813b24
132373c76
14165a0a0
15e6c2ca
hexa77b8c

10976140 has 24 divisors (see below), whose sum is σ = 26343072. Its totient is φ = 3763200.

The previous prime is 10976113. The next prime is 10976143. The reversal of 10976140 is 4167901.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 10976099 and 10976108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10976143) 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, 39061 + ... + 39340.

It is an arithmetic number, because the mean of its divisors is an integer number (1097628).

It is the magic constant of a 280 × 280 magic square.

Almost surely, 210976140 is an apocalyptic number.

10976140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10976140 is an abundant number, since it is smaller than the sum of its proper divisors (15366932).

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

10976140 is a wasteful number, since it uses less digits than its factorization.

10976140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78417 (or 78415 counting only the distinct ones).

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

The square root of 10976140 is about 3313.0258073248. The cubic root of 10976140 is about 222.2370921531.

The spelling of 10976140 in words is "ten million, nine hundred seventy-six thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 78401 156802 313604 392005 548807 784010 1097614 1568020 2195228 2744035 5488070 10976140