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11921300 = 2252971229
BaseRepresentation
bin101101011110…
…011110010100
3211102122221122
4231132132110
511022440200
61103303112
7203220656
oct55363624
924378848
1011921300
116802716
123baaa98
132615231
1418246d6
1510a7385
hexb5e794

11921300 has 36 divisors (see below), whose sum is σ = 26157180. Its totient is φ = 4715520.

The previous prime is 11921297. The next prime is 11921311. The reversal of 11921300 is 312911.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 334084 + 11587216 = 578^2 + 3404^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9086 + ... + 10314.

Almost surely, 211921300 is an apocalyptic number.

11921300 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 11921300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13078590).

11921300 is an abundant number, since it is smaller than the sum of its proper divisors (14235880).

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

11921300 is a wasteful number, since it uses less digits than its factorization.

11921300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1340 (or 1333 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 17.

The square root of 11921300 is about 3452.7235626386. The cubic root of 11921300 is about 228.4412558651.

It can be divided in two parts, 11921 and 300, that added together give a palindrome (12221).

The spelling of 11921300 in words is "eleven million, nine hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 97 100 194 388 485 970 1229 1940 2425 2458 4850 4916 6145 9700 12290 24580 30725 61450 119213 122900 238426 476852 596065 1192130 2384260 2980325 5960650 11921300