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139400 = 23521741
BaseRepresentation
bin100010000010001000
321002012222
4202002020
513430100
62553212
71120262
oct420210
9232188
10139400
1195808
1268808
134b5b1
1438b32
152b485
hex22088

139400 has 48 divisors (see below), whose sum is σ = 351540. Its totient is φ = 51200.

The previous prime is 139397. The next prime is 139409. The reversal of 139400 is 4931.

It can be written as a sum of positive squares in 6 ways, for example, as 33124 + 106276 = 182^2 + 326^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (139409) 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, 3380 + ... + 3420.

2139400 is an apocalyptic number.

139400 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 139400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175770).

139400 is an abundant number, since it is smaller than the sum of its proper divisors (212140).

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

139400 is a wasteful number, since it uses less digits than its factorization.

139400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 139400 is about 373.3630940519. The cubic root of 139400 is about 51.8506563090.

The spelling of 139400 in words is "one hundred thirty-nine thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 41 50 68 82 85 100 136 164 170 200 205 328 340 410 425 680 697 820 850 1025 1394 1640 1700 2050 2788 3400 3485 4100 5576 6970 8200 13940 17425 27880 34850 69700 139400