Search a number
-
+
1135730700 = 22335213219131
BaseRepresentation
bin100001110110001…
…1110000000001100
32221011002002122000
41003230132000030
54311221340300
6304410352300
740100360136
oct10354360014
92834062560
101135730700
115330aa315
1227842b690
131513b1200
14aaba0056
1569a92c00
hex43b1e00c

1135730700 has 432 divisors, whose sum is σ = 4193481600. Its totient is φ = 262828800.

The previous prime is 1135730689. The next prime is 1135730711. The reversal of 1135730700 is 70375311.

1135730700 is a `hidden beast` number, since 1 + 1 + 357 + 307 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1135730689) and next prime (1135730711).

It is a super-3 number, since 3×11357307003 (a number of 28 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8669635 + ... + 8669765.

Almost surely, 21135730700 is an apocalyptic number.

1135730700 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 1135730700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2096740800).

1135730700 is an abundant number, since it is smaller than the sum of its proper divisors (3057750900).

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

1135730700 is a wasteful number, since it uses less digits than its factorization.

1135730700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 2205, while the sum is 27.

The square root of 1135730700 is about 33700.6038521567. The cubic root of 1135730700 is about 1043.3382316852.

The spelling of 1135730700 in words is "one billion, one hundred thirty-five million, seven hundred thirty thousand, seven hundred".