Search a number
-
+
99270504 = 23326472131
BaseRepresentation
bin1011110101010…
…11111101101000
320220210110112100
411322223331220
5200403124004
613503413400
72313533244
oct572537550
9226713470
1099270504
1151043443
12292b4260
1317749758
14d281424
158aad739
hex5eabf68

99270504 has 48 divisors (see below), whose sum is σ = 269399520. Its totient is φ = 33023520.

The previous prime is 99270503. The next prime is 99270517. The reversal of 99270504 is 40507299.

It is a super-3 number, since 3×992705043 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (99270503) 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 11 ways as a sum of consecutive naturals, for example, 45519 + ... + 47649.

It is an arithmetic number, because the mean of its divisors is an integer number (5612490).

Almost surely, 299270504 is an apocalyptic number.

It is an amenable number.

99270504 is an abundant number, since it is smaller than the sum of its proper divisors (170129016).

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

99270504 is a wasteful number, since it uses less digits than its factorization.

99270504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2790 (or 2783 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 99270504 is about 9963.4584357039. The cubic root of 99270504 is about 463.0274541453.

The spelling of 99270504 in words is "ninety-nine million, two hundred seventy thousand, five hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 647 1294 1941 2131 2588 3882 4262 5176 5823 6393 7764 8524 11646 12786 15528 17048 19179 23292 25572 38358 46584 51144 76716 153432 1378757 2757514 4136271 5515028 8272542 11030056 12408813 16545084 24817626 33090168 49635252 99270504