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253957340 = 225713139537
BaseRepresentation
bin11110010001100…
…01010011011100
3122200212100222102
433020301103130
51010003113330
641111104232
76202413260
oct1710612334
9580770872
10253957340
111203969aa
1271072078
13407c9a20
1425a2a0a0
1517466945
hexf2314dc

253957340 has 48 divisors (see below), whose sum is σ = 656386752. Its totient is φ = 80372736.

The previous prime is 253957303. The next prime is 253957357. The reversal of 253957340 is 43759352.

253957340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 253957294 and 253957303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 67949 + ... + 71588.

It is an arithmetic number, because the mean of its divisors is an integer number (13674724).

Almost surely, 2253957340 is an apocalyptic number.

253957340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

253957340 is an abundant number, since it is smaller than the sum of its proper divisors (402429412).

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

253957340 is a wasteful number, since it uses less digits than its factorization.

253957340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139566 (or 139564 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 38.

The square root of 253957340 is about 15936.0390310767. The cubic root of 253957340 is about 633.2670961815.

The spelling of 253957340 in words is "two hundred fifty-three million, nine hundred fifty-seven thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 52 65 70 91 130 140 182 260 364 455 910 1820 139537 279074 558148 697685 976759 1395370 1813981 1953518 2790740 3627962 3907036 4883795 7255924 9069905 9767590 12697867 18139810 19535180 25395734 36279620 50791468 63489335 126978670 253957340