Search a number
-
+
10900764 = 2233714419
BaseRepresentation
bin101001100101…
…010100011100
3202111211001000
4221211110130
510242311024
61025350300
7161440440
oct51452434
922454030
1010900764
1161759a6
123798390
132348874
14163a820
15e54cc9
hexa6551c

10900764 has 48 divisors (see below), whose sum is σ = 32300800. Its totient is φ = 3114288.

The previous prime is 10900753. The next prime is 10900777. The reversal of 10900764 is 46700901.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6454 + ... + 7965.

Almost surely, 210900764 is an apocalyptic number.

10900764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10900764 is an abundant number, since it is smaller than the sum of its proper divisors (21400036).

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

10900764 is a wasteful number, since it uses less digits than its factorization.

10900764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14439 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 10900764 is about 3301.6305062802. The cubic root of 10900764 is about 221.7272032700.

It can be divided in two parts, 10900 and 764, that added together give a square (11664 = 1082).

The spelling of 10900764 in words is "ten million, nine hundred thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 14419 28838 43257 57676 86514 100933 129771 173028 201866 259542 302799 389313 403732 519084 605598 778626 908397 1211196 1557252 1816794 2725191 3633588 5450382 10900764