Search a number
-
+
100004740 = 225114111087
BaseRepresentation
bin1011111010111…
…11001110000100
320222011202201021
411331133032010
5201100122430
613531240524
72323012003
oct575371604
9228152637
10100004740
11514a5050
12295a9144
1317945a04
14d3d2c3a
158ba607a
hex5f5f384

100004740 has 48 divisors (see below), whose sum is σ = 234710784. Its totient is φ = 35475200.

The previous prime is 100004719. The next prime is 100004741. The reversal of 100004740 is 47400001.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (100004741) 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, 3477 + ... + 14563.

It is an arithmetic number, because the mean of its divisors is an integer number (4889808).

Almost surely, 2100004740 is an apocalyptic number.

100004740 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 100004740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117355392).

100004740 is an abundant number, since it is smaller than the sum of its proper divisors (134706044).

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

100004740 is a wasteful number, since it uses less digits than its factorization.

100004740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11148 (or 11146 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 16.

The square root of 100004740 is about 10000.2369971916. The cubic root of 100004740 is about 464.1662169558.

Adding to 100004740 its reverse (47400001), we get a palindrome (147404741).

The spelling of 100004740 in words is "one hundred million, four thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 9020 11087 22174 44348 55435 110870 121957 221740 243914 454567 487828 609785 909134 1219570 1818268 2272835 2439140 4545670 5000237 9091340 10000474 20000948 25001185 50002370 100004740