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1135041024 = 2931356843
BaseRepresentation
bin100001110100111…
…0101101000000000
32221002210001120110
41003221311220000
54311032303044
6304343511320
740061455335
oct10351655000
92832701513
101135041024
11532779137
12278158540
131511cc310
14aaa6098c
15699a86b9
hex43a75a00

1135041024 has 80 divisors (see below), whose sum is σ = 3256479072. Its totient is φ = 349237248.

The previous prime is 1135041013. The next prime is 1135041031. The reversal of 1135041024 is 4201405311.

It is a super-3 number, since 3×11350410243 (a number of 28 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8454 + ... + 48389.

Almost surely, 21135041024 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 1135041024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1628239536).

1135041024 is an abundant number, since it is smaller than the sum of its proper divisors (2121438048).

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

1135041024 is an equidigital number, since it uses as much as digits as its factorization.

1135041024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56877 (or 56861 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 1135041024 is about 33690.3699000174. The cubic root of 1135041024 is about 1043.1269987934.

Adding to 1135041024 its reverse (4201405311), we get a palindrome (5336446335).

The spelling of 1135041024 in words is "one billion, one hundred thirty-five million, forty-one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 256 312 384 416 512 624 768 832 1248 1536 1664 2496 3328 4992 6656 9984 19968 56843 113686 170529 227372 341058 454744 682116 738959 909488 1364232 1477918 1818976 2216877 2728464 2955836 3637952 4433754 5456928 5911672 7275904 8867508 10913856 11823344 14551808 17735016 21827712 23646688 29103616 35470032 43655424 47293376 70940064 87310848 94586752 141880128 189173504 283760256 378347008 567520512 1135041024