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1136190132 = 2233711317431
BaseRepresentation
bin100001110111000…
…1110001010110100
32221011221102212000
41003232032022310
54311331041012
6304424255300
740104312450
oct10356161264
92834842760
101136190132
11533393510
12278611530
1315151236c
14aac7d660
1569b33ddc
hex43b8e2b4

1136190132 has 192 divisors, whose sum is σ = 3692666880. Its totient is φ = 293500800.

The previous prime is 1136190131. The next prime is 1136190151. The reversal of 1136190132 is 2310916311.

1136190132 is a `hidden beast` number, since 1 + 13 + 619 + 0 + 1 + 32 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1136190096 and 1136190105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1136190131) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2635957 + ... + 2636387.

It is an arithmetic number, because the mean of its divisors is an integer number (19232640).

Almost surely, 21136190132 is an apocalyptic number.

1136190132 is a gapful number since it is divisible by the number (12) 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 1136190132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1846333440).

1136190132 is an abundant number, since it is smaller than the sum of its proper divisors (2556476748).

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

1136190132 is a wasteful number, since it uses less digits than its factorization.

1136190132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 779 (or 771 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 1136190132 is about 33707.4195393240. The cubic root of 1136190132 is about 1043.4788983502.

The spelling of 1136190132 in words is "one billion, one hundred thirty-six million, one hundred ninety thousand, one hundred thirty-two".