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10394928 = 2432371951
BaseRepresentation
bin100111101001…
…110100110000
3201120010011100
4213221310300
510130114203
61010444400
7154232625
oct47516460
921503140
1010394928
11595a955
123593700
1321cc55b
14154834c
15da4ea3
hex9e9d30

10394928 has 60 divisors (see below), whose sum is σ = 29892928. Its totient is φ = 3369600.

The previous prime is 10394927. The next prime is 10394929. The reversal of 10394928 is 82949301.

10394928 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10394927) and next prime (10394929).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10394892 and 10394901.

It is not an unprimeable number, because it can be changed into a prime (10394921) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4353 + ... + 6303.

Almost surely, 210394928 is an apocalyptic number.

10394928 is a gapful number since it is divisible by the number (18) 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 10394928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14946464).

10394928 is an abundant number, since it is smaller than the sum of its proper divisors (19498000).

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

10394928 is a wasteful number, since it uses less digits than its factorization.

10394928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1993 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 10394928 is about 3224.1166232008. The cubic root of 10394928 is about 218.2430865813.

The spelling of 10394928 in words is "ten million, three hundred ninety-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 37 48 72 74 111 144 148 222 296 333 444 592 666 888 1332 1776 1951 2664 3902 5328 5853 7804 11706 15608 17559 23412 31216 35118 46824 70236 72187 93648 140472 144374 216561 280944 288748 433122 577496 649683 866244 1154992 1299366 1732488 2598732 3464976 5197464 10394928