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10474016 = 2571923107
BaseRepresentation
bin100111111101…
…001000100000
3201201010122112
4213331020200
510140132031
61012254452
7155012330
oct47751040
921633575
1010474016
115a04313
123611428
132229557
1415690c0
15dbd62b
hex9fd220

10474016 has 96 divisors (see below), whose sum is σ = 26127360. Its totient is φ = 4029696.

The previous prime is 10473977. The next prime is 10474021. The reversal of 10474016 is 61047401.

It is a super-2 number, since 2×104740162 = 219410022336512, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 10473982 and 10474000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 97835 + ... + 97941.

It is an arithmetic number, because the mean of its divisors is an integer number (272160).

Almost surely, 210474016 is an apocalyptic number.

10474016 is a gapful number since it is divisible by the number (16) 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 10474016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13063680).

10474016 is an abundant number, since it is smaller than the sum of its proper divisors (15653344).

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

10474016 is a wasteful number, since it uses less digits than its factorization.

10474016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 10474016 is about 3236.3584473911. The cubic root of 10474016 is about 218.7951769550.

The spelling of 10474016 in words is "ten million, four hundred seventy-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 19 23 28 32 38 46 56 76 92 107 112 133 152 161 184 214 224 266 304 322 368 428 437 532 608 644 736 749 856 874 1064 1288 1498 1712 1748 2033 2128 2461 2576 2996 3059 3424 3496 4066 4256 4922 5152 5992 6118 6992 8132 9844 11984 12236 13984 14231 16264 17227 19688 23968 24472 28462 32528 34454 39376 46759 48944 56924 65056 68908 78752 93518 97888 113848 137816 187036 227696 275632 327313 374072 455392 551264 654626 748144 1309252 1496288 2618504 5237008 10474016