Search a number
-
+
1132383456 = 25331310629
BaseRepresentation
bin100001101111110…
…1100110011100000
32220220210001002000
41003133230303200
54304342232311
6304210524000
740030046331
oct10337546340
92826701060
101132383456
115312234a6
12277296600
131507ab7a9
14aa56c288
1569631056
hex437ecce0

1132383456 has 48 divisors (see below), whose sum is σ = 3302787600. Its totient is φ = 377460864.

The previous prime is 1132383433. The next prime is 1132383517. The reversal of 1132383456 is 6543832311.

It is a tau number, because it is divible by the number of its divisors (48).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1132383456.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 654451 + ... + 656178.

It is an arithmetic number, because the mean of its divisors is an integer number (68808075).

Almost surely, 21132383456 is an apocalyptic number.

1132383456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1132383456 is an abundant number, since it is smaller than the sum of its proper divisors (2170404144).

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

1132383456 is a wasteful number, since it uses less digits than its factorization.

1132383456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1310648 (or 1310634 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 1132383456 is about 33650.9057233234. The cubic root of 1132383456 is about 1042.3122419482.

The spelling of 1132383456 in words is "one billion, one hundred thirty-two million, three hundred eighty-three thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 1310629 2621258 3931887 5242516 7863774 10485032 11795661 15727548 20970064 23591322 31455096 35386983 41940128 47182644 62910192 70773966 94365288 125820384 141547932 188730576 283095864 377461152 566191728 1132383456