Search a number
-
+
253960704 = 293318371
BaseRepresentation
bin11110010001100…
…10001000000000
3122200212112121000
433020302020000
51010003220304
641111132000
76202426134
oct1710621000
9580775530
10253960704
11120399488
1271074000
13407cb40a
1425a2b3c4
1517467939
hexf232200

253960704 has 80 divisors (see below), whose sum is σ = 751782240. Its totient is φ = 84648960.

The previous prime is 253960703. The next prime is 253960717. The reversal of 253960704 is 407069352.

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 (253960703) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4639 + ... + 23009.

It is an arithmetic number, because the mean of its divisors is an integer number (9397278).

Almost surely, 2253960704 is an apocalyptic number.

253960704 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253960704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (375891120).

253960704 is an abundant number, since it is smaller than the sum of its proper divisors (497821536).

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

253960704 is an equidigital number, since it uses as much as digits as its factorization.

253960704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18398 (or 18376 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 253960704 is about 15936.1445776574. The cubic root of 253960704 is about 633.2698923218.

The spelling of 253960704 in words is "two hundred fifty-three million, nine hundred sixty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6912 13824 18371 36742 55113 73484 110226 146968 165339 220452 293936 330678 440904 496017 587872 661356 881808 992034 1175744 1322712 1763616 1984068 2351488 2645424 3527232 3968136 4702976 5290848 7054464 7936272 9405952 10581696 14108928 15872544 21163392 28217856 31745088 42326784 63490176 84653568 126980352 253960704