Search a number
-
+
253503660 = 223517248533
BaseRepresentation
bin11110001110000…
…10100010101100
3122200000022122110
433013002202230
51004344104120
641053244020
76165513504
oct1707024254
9580008573
10253503660
11120107063
1270a93610
134069b387
142594ca04
15173c72e0
hexf1c28ac

253503660 has 48 divisors (see below), whose sum is σ = 751566816. Its totient is φ = 63624192.

The previous prime is 253503641. The next prime is 253503667. The reversal of 253503660 is 66305352.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (253503667) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123247 + ... + 125286.

It is an arithmetic number, because the mean of its divisors is an integer number (15657642).

Almost surely, 2253503660 is an apocalyptic number.

253503660 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253503660 is an abundant number, since it is smaller than the sum of its proper divisors (498063156).

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

253503660 is a wasteful number, since it uses less digits than its factorization.

253503660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 248562 (or 248560 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 30.

The square root of 253503660 is about 15921.7982652714. The cubic root of 253503660 is about 632.8897731396.

The spelling of 253503660 in words is "two hundred fifty-three million, five hundred three thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 1020 248533 497066 745599 994132 1242665 1491198 2485330 2982396 3727995 4225061 4970660 7455990 8450122 12675183 14911980 16900244 21125305 25350366 42250610 50700732 63375915 84501220 126751830 253503660