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100404132 = 223194191051
BaseRepresentation
bin1011111110000…
…00101110100100
320222221001120120
411333000232210
5201200413012
613544001540
72326264263
oct577005644
9228831516
10100404132
1151748124
12297602b0
1317a5573a
14d4985da
158c3458c
hex5fc0ba4

100404132 has 48 divisors (see below), whose sum is σ = 247430400. Its totient is φ = 31600800.

The previous prime is 100404107. The next prime is 100404137. The reversal of 100404132 is 231404001.

It is not an unprimeable number, because it can be changed into a prime (100404137) 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, 95007 + ... + 96057.

It is an arithmetic number, because the mean of its divisors is an integer number (5154800).

Almost surely, 2100404132 is an apocalyptic number.

100404132 is a gapful number since it is divisible by the number (12) 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 100404132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123715200).

100404132 is an abundant number, since it is smaller than the sum of its proper divisors (147026268).

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

100404132 is a wasteful number, since it uses less digits than its factorization.

100404132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496 (or 1494 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 100404132 is about 10020.1862258144. The cubic root of 100404132 is about 464.7833144661.

Adding to 100404132 its reverse (231404001), we get a palindrome (331808133).

The spelling of 100404132 in words is "one hundred million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 228 419 838 1051 1257 1676 2102 2514 3153 4204 5028 6306 7961 12612 15922 19969 23883 31844 39938 47766 59907 79876 95532 119814 239628 440369 880738 1321107 1761476 2642214 5284428 8367011 16734022 25101033 33468044 50202066 100404132