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253210642340 = 225292516172819
BaseRepresentation
bin1110101111010010000…
…1111100011110100100
3220012120200111101102112
43223310201330132210
513122033411023330
6312153502500152
724202536643025
oct3536441743644
9805520441375
10253210642340
1198427896377
12410a7894658
131ab542b5766
14c380daac4c
1568beb1a795
hex3af487c7a4

253210642340 has 96 divisors (see below), whose sum is σ = 553361155200. Its totient is φ = 97209728000.

The previous prime is 253210642337. The next prime is 253210642361. The reversal of 253210642340 is 43246012352.

It is a junction number, because it is equal to n+sod(n) for n = 253210642297 and 253210642306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89821451 + ... + 89824269.

It is an arithmetic number, because the mean of its divisors is an integer number (5764178700).

Almost surely, 2253210642340 is an apocalyptic number.

253210642340 is a gapful number since it is divisible by the number (20) 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 253210642340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276680577600).

253210642340 is an abundant number, since it is smaller than the sum of its proper divisors (300150512860).

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

253210642340 is a wasteful number, since it uses less digits than its factorization.

253210642340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3725 (or 3723 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 32.

Adding to 253210642340 its reverse (43246012352), we get a palindrome (296456654692).

The spelling of 253210642340 in words is "two hundred fifty-three billion, two hundred ten million, six hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 29 58 116 145 251 290 502 580 617 1004 1234 1255 2468 2510 2819 3085 5020 5638 6170 7279 11276 12340 14095 14558 17893 28190 29116 35786 36395 56380 71572 72790 81751 89465 145580 154867 163502 178930 309734 327004 357860 408755 619468 707569 774335 817510 1415138 1548670 1635020 1739323 2830276 3097340 3478646 3537845 4491143 6957292 7075690 8696615 8982286 14151380 17393230 17964572 20519501 22455715 34786460 41039002 44911430 50440367 82078004 89822860 100880734 102597505 201761468 205195010 252201835 410390020 436570073 504403670 873140146 1008807340 1746280292 2182850365 4365700730 8731401460 12660532117 25321064234 50642128468 63302660585 126605321170 253210642340