Search a number
-
+
1131649512 = 233725211847
BaseRepresentation
bin100001101110011…
…1001100111101000
32220212101202021220
41003130321213220
54304200241022
6304143102040
740020601500
oct10334714750
92825352256
101131649512
11530872034
12276ba1920
131505b26c6
14aa41aa00
156953885c
hex437399e8

1131649512 has 96 divisors (see below), whose sum is σ = 3299123520. Its totient is φ = 322533120.

The previous prime is 1131649501. The next prime is 1131649537. The reversal of 1131649512 is 2159461311.

1131649512 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 611773 + ... + 613619.

It is an arithmetic number, because the mean of its divisors is an integer number (34365870).

Almost surely, 21131649512 is an apocalyptic number.

1131649512 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 1131649512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1649561760).

1131649512 is an abundant number, since it is smaller than the sum of its proper divisors (2167474008).

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

1131649512 is a wasteful number, since it uses less digits than its factorization.

1131649512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2391 (or 2380 counting only the distinct ones).

The product of its digits is 6480, while the sum is 33.

The square root of 1131649512 is about 33639.9986920333. The cubic root of 1131649512 is about 1042.0870048912.

The spelling of 1131649512 in words is "one billion, one hundred thirty-one million, six hundred forty-nine thousand, five hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 294 392 521 588 1042 1176 1563 1847 2084 3126 3647 3694 4168 5541 6252 7294 7388 10941 11082 12504 12929 14588 14776 21882 22164 25529 25858 29176 38787 43764 44328 51058 51716 76587 77574 87528 90503 102116 103432 153174 155148 181006 204232 271509 306348 310296 362012 543018 612696 724024 962287 1086036 1924574 2172072 2886861 3849148 5773722 6736009 7698296 11547444 13472018 20208027 23094888 26944036 40416054 47152063 53888072 80832108 94304126 141456189 161664216 188608252 282912378 377216504 565824756 1131649512