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2095830132 = 2231118187721
BaseRepresentation
bin111110011101011…
…1101010001110100
312102001200012110020
41330322331101310
513243013031012
6543544525140
7102636155634
oct17472752164
95361605406
102095830132
11986050220
124a5a807b0
1327528ab96
1415c4c26c4
15c3ee1a8c
hex7cebd474

2095830132 has 48 divisors (see below), whose sum is σ = 5364375744. Its totient is φ = 631584000.

The previous prime is 2095830101. The next prime is 2095830137. The reversal of 2095830132 is 2310385902.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a junction number, because it is equal to n+sod(n) for n = 2095830093 and 2095830102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2095830137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19969 + ... + 67752.

It is an arithmetic number, because the mean of its divisors is an integer number (111757828).

Almost surely, 22095830132 is an apocalyptic number.

2095830132 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

2095830132 is an abundant number, since it is smaller than the sum of its proper divisors (3268545612).

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

2095830132 is a wasteful number, since it uses less digits than its factorization.

2095830132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87920 (or 87918 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 2095830132 is about 45780.2373519404. The cubic root of 2095830132 is about 1279.7310087425.

The spelling of 2095830132 in words is "two billion, ninety-five million, eight hundred thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 181 362 543 724 1086 1991 2172 3982 5973 7964 11946 23892 87721 175442 263163 350884 526326 964931 1052652 1929862 2894793 3859724 5789586 11579172 15877501 31755002 47632503 63510004 95265006 174652511 190530012 349305022 523957533 698610044 1047915066 2095830132