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1132404012 = 223279439907
BaseRepresentation
bin100001101111111…
…0001110100101100
32220220211002021100
41003133301310230
54304343412022
6304211203100
740030163265
oct10337616454
92826732240
101132404012
11531237993
122772a6490
131507b7c5c
14aa57596c
15696371ac
hex437f1d2c

1132404012 has 72 divisors (see below), whose sum is σ = 2908505600. Its totient is φ = 371431008.

The previous prime is 1132404001. The next prime is 1132404019. The reversal of 1132404012 is 2104042311.

It is a super-2 number, since 2×11324040122 = 2564677692787392288, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1132404019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1248063 + ... + 1248969.

Almost surely, 21132404012 is an apocalyptic number.

1132404012 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 1132404012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1454252800).

1132404012 is an abundant number, since it is smaller than the sum of its proper divisors (1776101588).

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

1132404012 is a wasteful number, since it uses less digits than its factorization.

1132404012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1435 (or 1430 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 1132404012 is about 33651.2111520522. The cubic root of 1132404012 is about 1042.3185488933.

Adding to 1132404012 its reverse (2104042311), we get a palindrome (3236446323).

The spelling of 1132404012 in words is "one billion, one hundred thirty-two million, four hundred four thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 439 474 711 878 907 948 1317 1422 1756 1814 2634 2721 2844 3628 3951 5268 5442 7902 8163 10884 15804 16326 32652 34681 69362 71653 104043 138724 143306 208086 214959 286612 312129 398173 416172 429918 624258 644877 796346 859836 1194519 1248516 1289754 1592692 2389038 2579508 3583557 4778076 7167114 14334228 31455667 62911334 94367001 125822668 188734002 283101003 377468004 566202006 1132404012