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10993788 = 2232133139
BaseRepresentation
bin101001111100…
…000001111100
3202200112122100
4221330001330
510303300123
61031345100
7162305601
oct51740174
922615570
1010993788
116229883
123822190
13237c000
1416626a8
15e72643
hexa7c07c

10993788 has 72 divisors (see below), whose sum is σ = 30321200. Its totient is φ = 3358368.

The previous prime is 10993771. The next prime is 10993789. The reversal of 10993788 is 88739901.

10993788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10993789) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 79023 + ... + 79161.

Almost surely, 210993788 is an apocalyptic number.

10993788 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 10993788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15160600).

10993788 is an abundant number, since it is smaller than the sum of its proper divisors (19327412).

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

10993788 is a wasteful number, since it uses less digits than its factorization.

10993788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 10993788 is about 3315.6881638658. The cubic root of 10993788 is about 222.3561364334.

It can be divided in two parts, 10993 and 788, that added together give a triangular number (11781 = T153).

The spelling of 10993788 in words is "ten million, nine hundred ninety-three thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 139 156 169 234 278 338 417 468 507 556 676 834 1014 1251 1521 1668 1807 2028 2197 2502 3042 3614 4394 5004 5421 6084 6591 7228 8788 10842 13182 16263 19773 21684 23491 26364 32526 39546 46982 65052 70473 79092 93964 140946 211419 281892 305383 422838 610766 845676 916149 1221532 1832298 2748447 3664596 5496894 10993788