Search a number
-
+
100940 = 22572103
BaseRepresentation
bin11000101001001100
312010110112
4120221030
511212230
62055152
7600200
oct305114
9163415
10100940
1169924
124a4b8
1336c38
1428b00
151ed95
hex18a4c

100940 has 36 divisors (see below), whose sum is σ = 248976. Its totient is φ = 34272.

The previous prime is 100937. The next prime is 100943. The reversal of 100940 is 49001.

It is an interprime number because it is at equal distance from previous prime (100937) and next prime (100943).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is not an unprimeable number, because it can be changed into a prime (100943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 929 + ... + 1031.

It is an arithmetic number, because the mean of its divisors is an integer number (6916).

2100940 is an apocalyptic number.

100940 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 100940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124488).

100940 is an abundant number, since it is smaller than the sum of its proper divisors (148036).

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

100940 is a wasteful number, since it uses less digits than its factorization.

100940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 117 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

The square root of 100940 is about 317.7105601015. The cubic root of 100940 is about 46.5608714503.

Adding to 100940 its reverse (49001), we get a palindrome (149941).

The spelling of 100940 in words is "one hundred thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 103 140 196 206 245 412 490 515 721 980 1030 1442 2060 2884 3605 5047 7210 10094 14420 20188 25235 50470 100940