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10673424 = 243331797
BaseRepresentation
bin101000101101…
…110100010000
3202002021012000
4220231310100
510213022144
61020434000
7156502566
oct50556420
922067160
1010673424
116030113
1236a8900
132299248
1415bba36
15e0c769
hexa2dd10

10673424 has 80 divisors (see below), whose sum is σ = 31664640. Its totient is φ = 3438720.

The previous prime is 10673423. The next prime is 10673431. The reversal of 10673424 is 42437601.

It is a super-2 number, since 2×106734242 = 227843959767552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (10673423) 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, 12994 + ... + 13790.

It is an arithmetic number, because the mean of its divisors is an integer number (395808).

Almost surely, 210673424 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 10673424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15832320).

10673424 is an abundant number, since it is smaller than the sum of its proper divisors (20991216).

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

10673424 is a wasteful number, since it uses less digits than its factorization.

10673424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 845 (or 833 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 10673424 is about 3267.0206610917. The cubic root of 10673424 is about 220.1749572453.

The spelling of 10673424 in words is "ten million, six hundred seventy-three thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 36 48 54 62 72 93 108 124 144 186 216 248 279 372 432 496 558 744 797 837 1116 1488 1594 1674 2232 2391 3188 3348 4464 4782 6376 6696 7173 9564 12752 13392 14346 19128 21519 24707 28692 38256 43038 49414 57384 74121 86076 98828 114768 148242 172152 197656 222363 296484 344304 395312 444726 592968 667089 889452 1185936 1334178 1778904 2668356 3557808 5336712 10673424