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107840 = 265337
BaseRepresentation
bin11010010101000000
312110221002
4122111000
511422330
62151132
7626255
oct322500
9173832
10107840
1174027
12524a8
133a115
142b42c
1521e45
hex1a540

107840 has 28 divisors (see below), whose sum is σ = 257556. Its totient is φ = 43008.

The previous prime is 107839. The next prime is 107843. The reversal of 107840 is 48701.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 33856 + 73984 = 184^2 + 272^2 .

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107843) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 152 + ... + 488.

2107840 is an apocalyptic number.

107840 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 107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128778).

107840 is an abundant number, since it is smaller than the sum of its proper divisors (149716).

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

107840 is an equidigital number, since it uses as much as digits as its factorization.

107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 354 (or 344 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 20.

The square root of 107840 is about 328.3900120284. The cubic root of 107840 is about 47.5985028835.

It can be divided in two parts, 10 and 7840, that multiplied together give a square (78400 = 2802).

The spelling of 107840 in words is "one hundred seven thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 337 674 1348 1685 2696 3370 5392 6740 10784 13480 21568 26960 53920 107840