Search a number
-
+
100524424 = 237111312553
BaseRepresentation
bin1011111110111…
…10000110001000
321000011011120211
411333132012020
5201213240144
613550330504
72330305060
oct577360610
9230134524
10100524424
115181a540
12297b9a34
1317a98410
14d4ca3a0
158c5a034
hex5fde188

100524424 has 64 divisors (see below), whose sum is σ = 253088640. Its totient is φ = 36149760.

The previous prime is 100524407. The next prime is 100524443. The reversal of 100524424 is 424425001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 100524395 and 100524404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1732 + ... + 14284.

It is an arithmetic number, because the mean of its divisors is an integer number (3954510).

Almost surely, 2100524424 is an apocalyptic number.

100524424 is a gapful number since it is divisible by the number (14) 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 100524424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126544320).

100524424 is an abundant number, since it is smaller than the sum of its proper divisors (152564216).

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

100524424 is a wasteful number, since it uses less digits than its factorization.

100524424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12590 (or 12586 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 22.

The square root of 100524424 is about 10026.1869122813. The cubic root of 100524424 is about 464.9688559709.

Adding to 100524424 its reverse (424425001), we get a palindrome (524949425).

The spelling of 100524424 in words is "one hundred million, five hundred twenty-four thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 11 13 14 22 26 28 44 52 56 77 88 91 104 143 154 182 286 308 364 572 616 728 1001 1144 2002 4004 8008 12553 25106 50212 87871 100424 138083 163189 175742 276166 326378 351484 552332 652756 702968 966581 1104664 1142323 1305512 1795079 1933162 2284646 3590158 3866324 4569292 7180316 7732648 9138584 12565553 14360632 25131106 50262212 100524424