Search a number
-
+
253091040 = 2535527273
BaseRepresentation
bin11110001010111…
…01110011100000
3122122020100122020
433011131303200
51004242403130
641040341440
76162144516
oct1705356340
9578210566
10253091040
1111a955054
1270914880
1340585617
14258824b6
1517344e10
hexf15dce0

253091040 has 48 divisors (see below), whose sum is σ = 797238288. Its totient is φ = 67490816.

The previous prime is 253091017. The next prime is 253091089. The reversal of 253091040 is 40190352.

It is a tau number, because it is divible by the number of its divisors (48).

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 253091040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263157 + ... + 264116.

It is an arithmetic number, because the mean of its divisors is an integer number (16609131).

Almost surely, 2253091040 is an apocalyptic number.

253091040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253091040 is an abundant number, since it is smaller than the sum of its proper divisors (544147248).

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

253091040 is a wasteful number, since it uses less digits than its factorization.

253091040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527291 (or 527283 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 253091040 is about 15908.8352810632. The cubic root of 253091040 is about 632.5462083547.

The spelling of 253091040 in words is "two hundred fifty-three million, ninety-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 527273 1054546 1581819 2109092 2636365 3163638 4218184 5272730 6327276 7909095 8436368 10545460 12654552 15818190 16872736 21090920 25309104 31636380 42181840 50618208 63272760 84363680 126545520 253091040