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1135145304 = 2332431272887
BaseRepresentation
bin100001110101000…
…1111000101011000
32221002222100121200
41003222033011120
54311044122204
6304350034200
740062401346
oct10352170530
92832870550
101135145304
1153283a517
122781a8960
13151237917
14aaa8a996
15699c9539
hex43a8f158

1135145304 has 96 divisors (see below), whose sum is σ = 3171717120. Its totient is φ = 366545088.

The previous prime is 1135145273. The next prime is 1135145339. The reversal of 1135145304 is 4035415311.

It is a happy number.

1135145304 is a `hidden beast` number, since 1 + 1 + 351 + 4 + 5 + 304 = 666.

It is a super-2 number, since 2×11351453042 = 2577109722386504832, which contains 22 as substring.

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, 391749 + ... + 394635.

It is an arithmetic number, because the mean of its divisors is an integer number (33038720).

Almost surely, 21135145304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1135145304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1585858560).

1135145304 is an abundant number, since it is smaller than the sum of its proper divisors (2036571816).

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

1135145304 is a wasteful number, since it uses less digits than its factorization.

1135145304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3069 (or 3062 counting only the distinct ones).

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

The square root of 1135145304 is about 33691.9174877299. The cubic root of 1135145304 is about 1043.1589429993.

The spelling of 1135145304 in words is "one billion, one hundred thirty-five million, one hundred forty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 127 129 172 254 258 344 381 387 508 516 762 774 1016 1032 1143 1524 1548 2286 2887 3048 3096 4572 5461 5774 8661 9144 10922 11548 16383 17322 21844 23096 25983 32766 34644 43688 49149 51966 65532 69288 98298 103932 124141 131064 196596 207864 248282 366649 372423 393192 496564 733298 744846 993128 1099947 1117269 1466596 1489692 2199894 2234538 2933192 2979384 3299841 4399788 4469076 6599682 8799576 8938152 13199364 15765907 26398728 31531814 47297721 63063628 94595442 126127256 141893163 189190884 283786326 378381768 567572652 1135145304