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10922016 = 253716253
BaseRepresentation
bin101001101010…
…100000100000
3202112220012010
4221222200200
510244001031
61030032520
7161556420
oct51524040
922486163
1010922016
11618a966
1237a8740
132355441
141644480
15e5b246
hexa6a820

10922016 has 48 divisors (see below), whose sum is σ = 32768064. Its totient is φ = 3120384.

The previous prime is 10921997. The next prime is 10922027. The reversal of 10922016 is 61022901.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10921983 and 10922001.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7455 + ... + 8798.

It is an arithmetic number, because the mean of its divisors is an integer number (682668).

Almost surely, 210922016 is an apocalyptic number.

10922016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

10922016 is an abundant number, since it is smaller than the sum of its proper divisors (21846048).

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

10922016 is a wasteful number, since it uses less digits than its factorization.

10922016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16273 (or 16265 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

The square root of 10922016 is about 3304.8473489709. The cubic root of 10922016 is about 221.8712019716.

Adding to 10922016 its reverse (61022901), we get a palindrome (71944917).

The spelling of 10922016 in words is "ten million, nine hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 16253 32506 48759 65012 97518 113771 130024 195036 227542 260048 341313 390072 455084 520096 682626 780144 910168 1365252 1560288 1820336 2730504 3640672 5461008 10922016