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10916940 = 2235533433
BaseRepresentation
bin101001101001…
…010001001100
3202112122020010
4221221101030
510243320230
61025553220
7161535546
oct51512114
922478203
1010916940
116187071
1237a5810
132353038
141642696
15e599b0
hexa6944c

10916940 has 48 divisors (see below), whose sum is σ = 31153248. Its totient is φ = 2855424.

The previous prime is 10916933. The next prime is 10916977. The reversal of 10916940 is 4961901.

10916940 = 562 + 572 + ... + 3202.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10916898 and 10916907.

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, 1464 + ... + 4896.

It is an arithmetic number, because the mean of its divisors is an integer number (649026).

Almost surely, 210916940 is an apocalyptic number.

10916940 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 10916940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15576624).

10916940 is an abundant number, since it is smaller than the sum of its proper divisors (20236308).

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

10916940 is a wasteful number, since it uses less digits than its factorization.

10916940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3498 (or 3496 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 30.

The square root of 10916940 is about 3304.0792968693. The cubic root of 10916940 is about 221.8368251455.

The spelling of 10916940 in words is "ten million, nine hundred sixteen thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 106 159 212 265 318 530 636 795 1060 1590 3180 3433 6866 10299 13732 17165 20598 34330 41196 51495 68660 102990 181949 205980 363898 545847 727796 909745 1091694 1819490 2183388 2729235 3638980 5458470 10916940