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1135808076 = 2231341311571
BaseRepresentation
bin100001110110011…
…0000111001001100
32221011020000202210
41003230300321030
54311231324301
6304412150420
740101131544
oct10354607114
92834200683
101135808076
11533152467
12278468410
1315140a4b0
14aabc0324
1569aaaad6
hex43b30e4c

1135808076 has 96 divisors (see below), whose sum is σ = 2938231296. Its totient is φ = 339264000.

The previous prime is 1135808041. The next prime is 1135808111. The reversal of 1135808076 is 6708085311.

It is an interprime number because it is at equal distance from previous prime (1135808041) and next prime (1135808111).

It is a Harshad number since it is a multiple of its sum of digits (39).

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, 1988871 + ... + 1989441.

It is an arithmetic number, because the mean of its divisors is an integer number (30606576).

Almost surely, 21135808076 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 1135808076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1469115648).

1135808076 is an abundant number, since it is smaller than the sum of its proper divisors (1802423220).

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

1135808076 is a wasteful number, since it uses less digits than its factorization.

1135808076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 1135808076 is about 33701.7518239038. The cubic root of 1135808076 is about 1043.3619249503.

The spelling of 1135808076 in words is "one billion, one hundred thirty-five million, eight hundred eight thousand, seventy-six".

Divisors: 1 2 3 4 6 12 13 26 39 41 52 78 82 123 156 164 246 311 492 533 571 622 933 1066 1142 1244 1599 1713 1866 2132 2284 3198 3426 3732 4043 6396 6852 7423 8086 12129 12751 14846 16172 22269 23411 24258 25502 29692 38253 44538 46822 48516 51004 70233 76506 89076 93644 140466 153012 165763 177581 280932 304343 331526 355162 497289 532743 608686 663052 710324 913029 994578 1065486 1217372 1826058 1989156 2130972 2308553 3652116 4617106 6925659 7280821 9234212 13851318 14561642 21842463 27702636 29123284 43684926 87369852 94650673 189301346 283952019 378602692 567904038 1135808076