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100488 = 2335379
BaseRepresentation
bin11000100010001000
312002211210
4120202020
511203423
62053120
7565653
oct304210
9162753
10100488
1169553
124a1a0
133697b
142889a
151eb93
hex18888

100488 has 32 divisors (see below), whose sum is σ = 259200. Its totient is φ = 32448.

The previous prime is 100483. The next prime is 100493. The reversal of 100488 is 884001.

It is a Cunningham number, because it is equal to 3172-1.

It is an interprime number because it is at equal distance from previous prime (100483) and next prime (100493).

It is a plaindrome in base 14 and base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100483) by changing a digit.

100488 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1233 + ... + 1311.

It is an arithmetic number, because the mean of its divisors is an integer number (8100).

2100488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129600).

100488 is an abundant number, since it is smaller than the sum of its proper divisors (158712).

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

100488 is a wasteful number, since it uses less digits than its factorization.

100488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 100488 is about 316.9984227090. The cubic root of 100488 is about 46.4912690279.

Adding to 100488 its reverse (884001), we get a palindrome (984489).

The spelling of 100488 in words is "one hundred thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 24 53 79 106 158 159 212 237 316 318 424 474 632 636 948 1272 1896 4187 8374 12561 16748 25122 33496 50244 100488