Search a number
-
+
100514392 = 231143101263
BaseRepresentation
bin1011111110110…
…11101001011000
321000010122211021
411333123221120
5201212430032
613550212224
72330233606
oct577335130
9230118737
10100514392
1151812a50
12297b4074
1317a93994
14d4c6876
158c57097
hex5fdba58

100514392 has 64 divisors (see below), whose sum is σ = 213269760. Its totient is φ = 44016000.

The previous prime is 100514371. The next prime is 100514399. The reversal of 100514392 is 293415001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100514399) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382053 + ... + 382315.

It is an arithmetic number, because the mean of its divisors is an integer number (3332340).

Almost surely, 2100514392 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 100514392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106634880).

100514392 is an abundant number, since it is smaller than the sum of its proper divisors (112755368).

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

100514392 is a wasteful number, since it uses less digits than its factorization.

100514392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 100514392 is about 10025.6866099036. The cubic root of 100514392 is about 464.9533880128.

Adding to 100514392 its reverse (293415001), we get a palindrome (393929393).

The spelling of 100514392 in words is "one hundred million, five hundred fourteen thousand, three hundred ninety-two".

Divisors: 1 2 4 8 11 22 43 44 86 88 101 172 202 263 344 404 473 526 808 946 1052 1111 1892 2104 2222 2893 3784 4343 4444 5786 8686 8888 11309 11572 17372 22618 23144 26563 34744 45236 47773 53126 90472 95546 106252 124399 191092 212504 248798 292193 382184 497596 584386 995192 1142209 1168772 2284418 2337544 4568836 9137672 12564299 25128598 50257196 100514392