Search a number
-
+
5761800132 = 22311129133811
BaseRepresentation
bin1010101110110111…
…00001011111000100
3112212112211202212220
411113123201133010
543300010101012
62351423212340
7262532331054
oct52733413704
915775752786
105761800132
1124974277a0
1211497470b0
1370a9283ba
143c9325564
1523ac8508c
hex1576e17c4

5761800132 has 48 divisors (see below), whose sum is σ = 14678194944. Its totient is φ = 1744596000.

The previous prime is 5761800131. The next prime is 5761800169. The reversal of 5761800132 is 2310081675.

It is a super-2 number, since 2×57618001322 = 66396681522230434848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 5761800093 and 5761800102.

It is not an unprimeable number, because it can be changed into a prime (5761800131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153507 + ... + 187317.

It is an arithmetic number, because the mean of its divisors is an integer number (305795728).

Almost surely, 25761800132 is an apocalyptic number.

It is an amenable number.

5761800132 is an abundant number, since it is smaller than the sum of its proper divisors (8916394812).

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

5761800132 is a wasteful number, since it uses less digits than its factorization.

5761800132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35120 (or 35118 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 33.

The square root of 5761800132 is about 75906.5223284534. The cubic root of 5761800132 is about 1792.7486180638.

The spelling of 5761800132 in words is "five billion, seven hundred sixty-one million, eight hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1291 2582 3873 5164 7746 14201 15492 28402 33811 42603 56804 67622 85206 101433 135244 170412 202866 371921 405732 743842 1115763 1487684 2231526 4463052 43650001 87300002 130950003 174600004 261900006 480150011 523800012 960300022 1440450033 1920600044 2880900066 5761800132