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253134024 = 233111373757
BaseRepresentation
bin11110001011010…
…00010011001000
3122122022112121020
433011220103020
51004300242044
641041312440
76162414033
oct1705502310
9578275536
10253134024
1111a984380
1270935720
134059c060
142589401a
1517352a19
hexf1684c8

253134024 has 64 divisors (see below), whose sum is σ = 743480640. Its totient is φ = 70805760.

The previous prime is 253134023. The next prime is 253134031. The reversal of 253134024 is 420431352.

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

It is a junction number, because it is equal to n+sod(n) for n = 253133985 and 253134003.

It is not an unprimeable number, because it can be changed into a prime (253134023) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 33447 + ... + 40310.

It is an arithmetic number, because the mean of its divisors is an integer number (11616885).

Almost surely, 2253134024 is an apocalyptic number.

253134024 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

253134024 is an abundant number, since it is smaller than the sum of its proper divisors (490346616).

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

253134024 is a wasteful number, since it uses less digits than its factorization.

253134024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73790 (or 73786 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 253134024 is about 15910.1861711295. The cubic root of 253134024 is about 632.5820160587.

Adding to 253134024 its reverse (420431352), we get a palindrome (673565376).

The spelling of 253134024 in words is "two hundred fifty-three million, one hundred thirty-four thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 13 22 24 26 33 39 44 52 66 78 88 104 132 143 156 264 286 312 429 572 858 1144 1716 3432 73757 147514 221271 295028 442542 590056 811327 885084 958841 1622654 1770168 1917682 2433981 2876523 3245308 3835364 4867962 5753046 6490616 7670728 9735924 10547251 11506092 19471848 21094502 23012184 31641753 42189004 63283506 84378008 126567012 253134024