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10916920 = 2357127307
BaseRepresentation
bin101001101001…
…010000111000
3202112122012101
4221221100320
510243320140
61025553144
7161535520
oct51512070
922478171
1010916920
116187053
1237a57b4
132353021
141642680
15e5999a
hexa69438

10916920 has 64 divisors (see below), whose sum is σ = 28385280. Its totient is φ = 3701376.

The previous prime is 10916911. The next prime is 10916923. The reversal of 10916920 is 2961901.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10916923) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 35407 + ... + 35713.

It is an arithmetic number, because the mean of its divisors is an integer number (443520).

Almost surely, 210916920 is an apocalyptic number.

10916920 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 10916920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14192640).

10916920 is an abundant number, since it is smaller than the sum of its proper divisors (17468360).

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

10916920 is a wasteful number, since it uses less digits than its factorization.

10916920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 452 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The square root of 10916920 is about 3304.0762703061. The cubic root of 10916920 is about 221.8366896759.

The spelling of 10916920 in words is "ten million, nine hundred sixteen thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 127 140 254 280 307 508 614 635 889 1016 1228 1270 1535 1778 2149 2456 2540 3070 3556 4298 4445 5080 6140 7112 8596 8890 10745 12280 17192 17780 21490 35560 38989 42980 77978 85960 155956 194945 272923 311912 389890 545846 779780 1091692 1364615 1559560 2183384 2729230 5458460 10916920