Search a number
-
+
12269400 = 23352112132
BaseRepresentation
bin101110110011…
…011101011000
3212002100110020
4232303131120
511120110100
61114550440
7206200563
oct56633530
925070406
1012269400
116a20200
124138420
132707800
1418b54da
1511255a0
hexbb3758

12269400 has 216 divisors, whose sum is σ = 45270540. Its totient is φ = 2745600.

The previous prime is 12269399. The next prime is 12269401. The reversal of 12269400 is 496221.

It is an interprime number because it is at equal distance from previous prime (12269399) and next prime (12269401).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12269401) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 943794 + ... + 943806.

Almost surely, 212269400 is an apocalyptic number.

12269400 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 12269400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22635270).

12269400 is an abundant number, since it is smaller than the sum of its proper divisors (33001140).

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

12269400 is a wasteful number, since it uses less digits than its factorization.

12269400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 12269400 is about 3502.7703321799. The cubic root of 12269400 is about 230.6434408474.

Multiplying 12269400 by its sum of digits (24), we get a square (294465600 = 171602).

12269400 divided by its sum of digits (24) gives a square (511225 = 7152).

Multiplying 12269400 by its product of nonzero digits (864), we get a square (10600761600 = 1029602).

The spelling of 12269400 in words is "twelve million, two hundred sixty-nine thousand, four hundred".