Search a number
-
+
253053240 = 233511191707
BaseRepresentation
bin11110001010101…
…00100100111000
3122122011102210020
433011110210320
51004240200430
641035450440
76161626356
oct1705244470
9578142706
10253053240
1111a929710
12708b6a20
134057135b
14258727d6
1517338b10
hexf154938

253053240 has 64 divisors (see below), whose sum is σ = 828178560. Its totient is φ = 61345920.

The previous prime is 253053221. The next prime is 253053247. The reversal of 253053240 is 42350352.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 253053240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (253053247) 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, 94534 + ... + 97173.

It is an arithmetic number, because the mean of its divisors is an integer number (12940290).

Almost surely, 2253053240 is an apocalyptic number.

253053240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253053240 is an abundant number, since it is smaller than the sum of its proper divisors (575125320).

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

253053240 is a wasteful number, since it uses less digits than its factorization.

253053240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191732 (or 191728 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 24.

The square root of 253053240 is about 15907.6472176120. The cubic root of 253053240 is about 632.5147158173.

The spelling of 253053240 in words is "two hundred fifty-three million, fifty-three thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 191707 383414 575121 766828 958535 1150242 1533656 1917070 2108777 2300484 2875605 3834140 4217554 4600968 5751210 6326331 7668280 8435108 10543885 11502420 12652662 16870216 21087770 23004840 25305324 31631655 42175540 50610648 63263310 84351080 126526620 253053240