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1132533972 = 223273430949
BaseRepresentation
bin100001110000001…
…0001100011010100
32220221001200112200
41003200101203110
54304412041342
6304214044500
740031244213
oct10340214324
92827050480
101132533972
11531316599
12277349730
1315083215b
14aa5ab07a
156966094c
hex438118d4

1132533972 has 36 divisors (see below), whose sum is σ = 2902017300. Its totient is φ = 372339072.

The previous prime is 1132533971. The next prime is 1132533973. The reversal of 1132533972 is 2793352311.

It is a happy number.

1132533972 is a `hidden beast` number, since 1 + 1 + 32 + 533 + 97 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1132533971) and next prime (1132533973).

It can be written as a sum of positive squares in 2 ways, for example, as 606932496 + 525601476 = 24636^2 + 22926^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1132533971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 212847 + ... + 218102.

Almost surely, 21132533972 is an apocalyptic number.

1132533972 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1132533972 is an abundant number, since it is smaller than the sum of its proper divisors (1769483328).

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

1132533972 is a wasteful number, since it uses less digits than its factorization.

1132533972 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431032 (or 431027 counting only the distinct ones).

The product of its digits is 34020, while the sum is 36.

The square root of 1132533972 is about 33653.1420821296. The cubic root of 1132533972 is about 1042.3584211578.

The spelling of 1132533972 in words is "one billion, one hundred thirty-two million, five hundred thirty-three thousand, nine hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 18 36 73 146 219 292 438 657 876 1314 2628 430949 861898 1292847 1723796 2585694 3878541 5171388 7757082 15514164 31459277 62918554 94377831 125837108 188755662 283133493 377511324 566266986 1132533972