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1132972032 = 2113613023
BaseRepresentation
bin100001110000111…
…1100100000000000
32220221212221110010
41003201330200000
54310020101112
6304231304520
740035050313
oct10341744000
92827787403
101132972032
11531595725
1227751b140
1315095666a
14aa68297a
15696ea63c
hex4387c800

1132972032 has 96 divisors (see below), whose sum is σ = 3071053440. Its totient is φ = 371343360.

The previous prime is 1132972031. The next prime is 1132972039. The reversal of 1132972032 is 2302792311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132972031) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 373273 + ... + 376295.

It is an arithmetic number, because the mean of its divisors is an integer number (31990140).

Almost surely, 21132972032 is an apocalyptic number.

1132972032 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 1132972032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535526720).

1132972032 is an abundant number, since it is smaller than the sum of its proper divisors (1938081408).

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

1132972032 is an equidigital number, since it uses as much as digits as its factorization.

1132972032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3109 (or 3089 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 1132972032 is about 33659.6499090528. The cubic root of 1132972032 is about 1042.4927973095.

The spelling of 1132972032 in words is "one billion, one hundred thirty-two million, nine hundred seventy-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 61 64 96 122 128 183 192 244 256 366 384 488 512 732 768 976 1024 1464 1536 1952 2048 2928 3023 3072 3904 5856 6046 6144 7808 9069 11712 12092 15616 18138 23424 24184 31232 36276 46848 48368 62464 72552 93696 96736 124928 145104 184403 187392 193472 290208 368806 374784 386944 553209 580416 737612 773888 1106418 1160832 1475224 1547776 2212836 2321664 2950448 3095552 4425672 4643328 5900896 6191104 8851344 9286656 11801792 17702688 18573312 23603584 35405376 47207168 70810752 94414336 141621504 188828672 283243008 377657344 566486016 1132972032