Search a number
-
+
10764300 = 2235253677
BaseRepresentation
bin101001000100…
…000000001100
3202020212211210
4221010000030
510223424200
61022414420
7160331541
oct51040014
922225753
1010764300
116092418
123731410
1322cb711
141602bc8
15e29650
hexa4400c

10764300 has 72 divisors (see below), whose sum is σ = 31779216. Its totient is φ = 2812160.

The previous prime is 10764293. The next prime is 10764301. The reversal of 10764300 is 346701.

It is not an unprimeable number, because it can be changed into a prime (10764301) 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, 15562 + ... + 16238.

It is an arithmetic number, because the mean of its divisors is an integer number (441378).

Almost surely, 210764300 is an apocalyptic number.

10764300 is a gapful number since it is divisible by the number (10) 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 10764300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15889608).

10764300 is an abundant number, since it is smaller than the sum of its proper divisors (21014916).

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

10764300 is a wasteful number, since it uses less digits than its factorization.

10764300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 747 (or 740 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 10764300 is about 3280.8992669693. The cubic root of 10764300 is about 220.7980656468.

The spelling of 10764300 in words is "ten million, seven hundred sixty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 53 60 75 100 106 150 159 212 265 300 318 530 636 677 795 1060 1325 1354 1590 2031 2650 2708 3180 3385 3975 4062 5300 6770 7950 8124 10155 13540 15900 16925 20310 33850 35881 40620 50775 67700 71762 101550 107643 143524 179405 203100 215286 358810 430572 538215 717620 897025 1076430 1794050 2152860 2691075 3588100 5382150 10764300