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10674024 = 2332361317
BaseRepresentation
bin101000101101…
…111101101000
3202002022000020
4220231331220
510213032044
61020440440
7156504414
oct50557550
922068006
1010674024
116030609
1236a9120
1322995ba
1415bbd44
15e0ca19
hexa2df68

10674024 has 64 divisors (see below), whose sum is σ = 28391040. Its totient is φ = 3336960.

The previous prime is 10674007. The next prime is 10674031. The reversal of 10674024 is 42047601.

It is a super-2 number, since 2×106740242 = 227869576705152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 10673985 and 10674003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33514 + ... + 33830.

It is an arithmetic number, because the mean of its divisors is an integer number (443610).

Almost surely, 210674024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10674024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14195520).

10674024 is an abundant number, since it is smaller than the sum of its proper divisors (17717016).

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

10674024 is a wasteful number, since it uses less digits than its factorization.

10674024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 410 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 10674024 is about 3267.1124865851. The cubic root of 10674024 is about 220.1790828348.

The spelling of 10674024 in words is "ten million, six hundred seventy-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 23 24 46 61 69 92 122 138 183 184 244 276 317 366 488 552 634 732 951 1268 1403 1464 1902 2536 2806 3804 4209 5612 7291 7608 8418 11224 14582 16836 19337 21873 29164 33672 38674 43746 58011 58328 77348 87492 116022 154696 174984 232044 444751 464088 889502 1334253 1779004 2668506 3558008 5337012 10674024