Search a number
-
+
272302506 = 23372102911
BaseRepresentation
bin10000001110110…
…000000110101010
3200222101101211000
4100032300012222
51024202140011
643004215430
76514350600
oct2016600652
9628341730
10272302506
1112a7869a3
127723a576
1344550b58
1428243870
1518d8c356
hex103b01aa

272302506 has 48 divisors (see below), whose sum is σ = 703918080. Its totient is φ = 77799960.

The previous prime is 272302487. The next prime is 272302517. The reversal of 272302506 is 605203272.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 272302506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48810 + ... + 54101.

It is an arithmetic number, because the mean of its divisors is an integer number (14664960).

Almost surely, 2272302506 is an apocalyptic number.

272302506 is an abundant number, since it is smaller than the sum of its proper divisors (431615574).

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

272302506 is a wasteful number, since it uses less digits than its factorization.

272302506 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102936 (or 102923 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 272302506 is about 16501.5910142022. The cubic root of 272302506 is about 648.1624678357.

Adding to 272302506 its reverse (605203272), we get a palindrome (877505778).

The spelling of 272302506 in words is "two hundred seventy-two million, three hundred two thousand, five hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 98 126 147 189 294 378 441 882 1323 2646 102911 205822 308733 617466 720377 926199 1440754 1852398 2161131 2778597 4322262 5042639 5557194 6483393 10085278 12966786 15127917 19450179 30255834 38900358 45383751 90767502 136151253 272302506