Search a number
-
+
1133939520 = 26335718749
BaseRepresentation
bin100001110010110…
…1000101101000000
32221000201002121000
41003211220231000
54310242031040
6304304132000
740046220060
oct10345505500
92830632530
101133939520
115320965aa
12277907000
13150c04b3c
14aa8553a0
156983c130
hex43968b40

1133939520 has 224 divisors, whose sum is σ = 4572000000. Its totient is φ = 259172352.

The previous prime is 1133939507. The next prime is 1133939539. The reversal of 1133939520 is 259393311.

1133939520 is a `hidden beast` number, since 11 + 33 + 93 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-3 number, since 3×11339395203 (a number of 28 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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, 51106 + ... + 69854.

Almost surely, 21133939520 is an apocalyptic number.

1133939520 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 1133939520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2286000000).

1133939520 is an abundant number, since it is smaller than the sum of its proper divisors (3438060480).

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

1133939520 is a wasteful number, since it uses less digits than its factorization.

1133939520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18782 (or 18766 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The square root of 1133939520 is about 33674.0184712190. The cubic root of 1133939520 is about 1042.7894543276.

The spelling of 1133939520 in words is "one billion, one hundred thirty-three million, nine hundred thirty-nine thousand, five hundred twenty".