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10933104 = 2437132503
BaseRepresentation
bin101001101101…
…001101110000
3202120110101210
4221231031300
510244324404
61030200120
7161633640
oct51551560
922513353
1010933104
116198226
1237b3040
13235a4c0
141648520
15e5e689
hexa6d370

10933104 has 80 divisors (see below), whose sum is σ = 34775552. Its totient is φ = 2882304.

The previous prime is 10933103. The next prime is 10933121. The reversal of 10933104 is 40133901.

10933104 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 a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10933103) 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, 3117 + ... + 5619.

Almost surely, 210933104 is an apocalyptic number.

10933104 is a gapful number since it is divisible by the number (14) 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 10933104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17387776).

10933104 is an abundant number, since it is smaller than the sum of its proper divisors (23842448).

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

10933104 is a wasteful number, since it uses less digits than its factorization.

10933104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2534 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 10933104 is about 3306.5244593077. The cubic root of 10933104 is about 221.9462575858.

The spelling of 10933104 in words is "ten million, nine hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 112 156 168 182 208 273 312 336 364 546 624 728 1092 1456 2184 2503 4368 5006 7509 10012 15018 17521 20024 30036 32539 35042 40048 52563 60072 65078 70084 97617 105126 120144 130156 140168 195234 210252 227773 260312 280336 390468 420504 455546 520624 683319 780936 841008 911092 1366638 1561872 1822184 2733276 3644368 5466552 10933104