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100740 = 22352373
BaseRepresentation
bin11000100110000100
312010012010
4120212010
511210430
62054220
7566463
oct304604
9163163
10100740
1169762
124a370
1336b13
14289da
151ecb0
hex18984

100740 has 48 divisors (see below), whose sum is σ = 298368. Its totient is φ = 25344.

The previous prime is 100733. The next prime is 100741. The reversal of 100740 is 47001.

It is a Harshad number since it is a multiple of its sum of digits (12).

100740 is a modest number, since divided by 740 gives 100 as remainder.

It is not an unprimeable number, because it can be changed into a prime (100741) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1344 + ... + 1416.

It is an arithmetic number, because the mean of its divisors is an integer number (6216).

2100740 is an apocalyptic number.

100740 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 100740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149184).

100740 is an abundant number, since it is smaller than the sum of its proper divisors (197628).

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

100740 is a wasteful number, since it uses less digits than its factorization.

100740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 12.

The square root of 100740 is about 317.3956521441. The cubic root of 100740 is about 46.5300996011.

Adding to 100740 its reverse (47001), we get a palindrome (147741).

The spelling of 100740 in words is "one hundred thousand, seven hundred forty", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 73 92 115 138 146 219 230 276 292 345 365 438 460 690 730 876 1095 1380 1460 1679 2190 3358 4380 5037 6716 8395 10074 16790 20148 25185 33580 50370 100740