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136400 = 24521131
BaseRepresentation
bin100001010011010000
320221002212
4201103100
513331100
62531252
71105445
oct412320
9227085
10136400
1193530
1266b28
134a114
14379cc
152a635
hex214d0

136400 has 60 divisors (see below), whose sum is σ = 369024. Its totient is φ = 48000.

The previous prime is 136399. The next prime is 136403. The reversal of 136400 is 4631.

It is a plaindrome in base 14.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4385 + ... + 4415.

2136400 is an apocalyptic number.

136400 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 136400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184512).

136400 is an abundant number, since it is smaller than the sum of its proper divisors (232624).

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

136400 is a wasteful number, since it uses less digits than its factorization.

136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 136400 is about 369.3237062524. The cubic root of 136400 is about 51.4759997512.

Subtracting from 136400 its reverse (4631), we obtain a square (131769 = 3632).

The spelling of 136400 in words is "one hundred thirty-six thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 31 40 44 50 55 62 80 88 100 110 124 155 176 200 220 248 275 310 341 400 440 496 550 620 682 775 880 1100 1240 1364 1550 1705 2200 2480 2728 3100 3410 4400 5456 6200 6820 8525 12400 13640 17050 27280 34100 68200 136400