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1253917060 = 225116797877
BaseRepresentation
bin100101010111101…
…0100000110000100
310020101110120211121
41022233110012010
510032000321220
6324231443324
743034055604
oct11257240604
93211416747
101253917060
115938924a0
122abb26544
1316ca21776
14bc766c04
157513aeaa
hex4abd4184

1253917060 has 96 divisors (see below), whose sum is σ = 2948899968. Its totient is φ = 444026880.

The previous prime is 1253917033. The next prime is 1253917073. The reversal of 1253917060 is 607193521.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1429342 + ... + 1430218.

It is an arithmetic number, because the mean of its divisors is an integer number (30717708).

Almost surely, 21253917060 is an apocalyptic number.

1253917060 is a gapful number since it is divisible by the number (10) 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 1253917060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1474449984).

1253917060 is an abundant number, since it is smaller than the sum of its proper divisors (1694982908).

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

1253917060 is a wasteful number, since it uses less digits than its factorization.

1253917060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1061 (or 1059 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 34.

The square root of 1253917060 is about 35410.6913233842. The cubic root of 1253917060 is about 1078.3413783836.

The spelling of 1253917060 in words is "one billion, two hundred fifty-three million, nine hundred seventeen thousand, sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 67 97 110 134 194 220 268 335 388 485 670 737 877 970 1067 1340 1474 1754 1940 2134 2948 3508 3685 4268 4385 5335 6499 7370 8770 9647 10670 12998 14740 17540 19294 21340 25996 32495 38588 48235 58759 64990 71489 85069 96470 117518 129980 142978 170138 192940 235036 285956 293795 340276 357445 425345 587590 646349 714890 850690 935759 1175180 1292698 1429780 1701380 1871518 2585396 3231745 3743036 4678795 5699623 6463490 9357590 11399246 12926980 18715180 22798492 28498115 56996230 62695853 113992460 125391706 250783412 313479265 626958530 1253917060