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1132737680 = 24529488249
BaseRepresentation
bin100001110000100…
…0011010010010000
32220221110000222102
41003201003102100
54304440101210
6304222255532
740033053134
oct10341032220
92827400872
101132737680
11531445648
122774275a8
131508a3aa9
14aa6213c4
15696a0ea5
hex43843490

1132737680 has 40 divisors (see below), whose sum is σ = 2724435000. Its totient is φ = 437470208.

The previous prime is 1132737679. The next prime is 1132737703. The reversal of 1132737680 is 867372311.

It can be written as a sum of positive squares in 4 ways, for example, as 195888016 + 936849664 = 13996^2 + 30608^2 .

It is a tau number, because it is divible by the number of its divisors (40).

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, 241805 + ... + 246444.

It is an arithmetic number, because the mean of its divisors is an integer number (68110875).

Almost surely, 21132737680 is an apocalyptic number.

1132737680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1132737680 is an abundant number, since it is smaller than the sum of its proper divisors (1591697320).

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

1132737680 is a wasteful number, since it uses less digits than its factorization.

1132737680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 488291 (or 488285 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 38.

The square root of 1132737680 is about 33656.1685282208. The cubic root of 1132737680 is about 1042.4209134759.

The spelling of 1132737680 in words is "one billion, one hundred thirty-two million, seven hundred thirty-seven thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 40 58 80 116 145 232 290 464 580 1160 2320 488249 976498 1952996 2441245 3905992 4882490 7811984 9764980 14159221 19529960 28318442 39059920 56636884 70796105 113273768 141592210 226547536 283184420 566368840 1132737680