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1135460052 = 22331032991
BaseRepresentation
bin100001110101101…
…1011111011010100
32221010120100101000
41003223123323110
54311134210202
6304400503300
740065152106
oct10353337324
92833510330
101135460052
11532a34a41
1227831ab30
13151317c6c
14aab2d576
1569a3c91c
hex43adbed4

1135460052 has 72 divisors (see below), whose sum is σ = 2975642880. Its totient is φ = 374433840.

The previous prime is 1135460041. The next prime is 1135460077. The reversal of 1135460052 is 2500645311.

1135460052 is a `hidden beast` number, since 1 + 1 + 3 + 5 + 4 + 600 + 52 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1135459998 and 1135460025.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1145277 + ... + 1146267.

Almost surely, 21135460052 is an apocalyptic number.

1135460052 is a gapful number since it is divisible by the number (12) 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 1135460052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1487821440).

1135460052 is an abundant number, since it is smaller than the sum of its proper divisors (1840182828).

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

1135460052 is a wasteful number, since it uses less digits than its factorization.

1135460052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1210 (or 1099 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 1135460052 is about 33696.5881358929. The cubic root of 1135460052 is about 1043.2553482343.

The spelling of 1135460052 in words is "one billion, one hundred thirty-five million, four hundred sixty thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 103 108 206 309 412 618 927 991 1236 1854 1982 2781 2973 3708 3964 5562 5946 8919 10609 11124 11892 17838 21218 26757 31827 35676 42436 53514 63654 95481 102073 107028 127308 190962 204146 286443 306219 381924 408292 572886 612438 918657 1145772 1224876 1837314 2755971 3674628 5511942 10513519 11023884 21027038 31540557 42054076 63081114 94621671 126162228 189243342 283865013 378486684 567730026 1135460052