Search a number
-
+
100144928 = 2513240733
BaseRepresentation
bin1011111100000…
…01011100100000
320222102220000102
411332001130200
5201114114203
613534241532
72324134502
oct576013440
9228386012
10100144928
1151590404
12296562a8
1317994770
14d42bd72
158bd2888
hex5f81720

100144928 has 24 divisors (see below), whose sum is σ = 212327388. Its totient is φ = 46220544.

The previous prime is 100144901. The next prime is 100144939. The reversal of 100144928 is 829441001.

It can be written as a sum of positive squares in 2 ways, for example, as 93934864 + 6210064 = 9692^2 + 2492^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 100144928.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 119951 + ... + 120782.

Almost surely, 2100144928 is an apocalyptic number.

It is an amenable number.

100144928 is an abundant number, since it is smaller than the sum of its proper divisors (112182460).

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

100144928 is a wasteful number, since it uses less digits than its factorization.

100144928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 240756 (or 240748 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 29.

The square root of 100144928 is about 10007.2437763852. The cubic root of 100144928 is about 464.3830071856.

Adding to 100144928 its reverse (829441001), we get a palindrome (929585929).

The spelling of 100144928 in words is "one hundred million, one hundred forty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 240733 481466 962932 1925864 3129529 3851728 6259058 7703456 12518116 25036232 50072464 100144928