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1136268140 = 2257292391171
BaseRepresentation
bin100001110111010…
…0001001101101100
32221012002101212012
41003232201031230
54311341040030
6304430100352
740105056050
oct10356411554
92835071765
101136268140
11533437087
1227864a6b8
1315153ba17
14aac9dc60
1569b4c095
hex43ba136c

1136268140 has 96 divisors (see below), whose sum is σ = 2835302400. Its totient is φ = 374250240.

The previous prime is 1136268131. The next prime is 1136268157. The reversal of 1136268140 is 418626311.

It is a super-2 number, since 2×11362681402 = 2582210571958119200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1136268097 and 1136268106.

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, 969755 + ... + 970925.

It is an arithmetic number, because the mean of its divisors is an integer number (29534400).

Almost surely, 21136268140 is an apocalyptic number.

1136268140 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 1136268140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1417651200).

1136268140 is an abundant number, since it is smaller than the sum of its proper divisors (1699034260).

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

1136268140 is a wasteful number, since it uses less digits than its factorization.

1136268140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1455 (or 1453 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 32.

The square root of 1136268140 is about 33708.5766534275. The cubic root of 1136268140 is about 1043.5027786958.

The spelling of 1136268140 in words is "one billion, one hundred thirty-six million, two hundred sixty-eight thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 239 290 406 478 580 812 956 1015 1171 1195 1673 2030 2342 2390 3346 4060 4684 4780 5855 6692 6931 8197 8365 11710 13862 16394 16730 23420 27724 32788 33460 33959 34655 40985 48517 67918 69310 81970 97034 135836 138620 163940 169795 194068 237713 242585 279869 339590 475426 485170 559738 679180 950852 970340 1119476 1188565 1399345 1959083 2377130 2798690 3918166 4754260 5597380 7836332 8116201 9795415 16232402 19590830 32464804 39181660 40581005 56813407 81162010 113626814 162324020 227253628 284067035 568134070 1136268140