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106789932 = 22324576491
BaseRepresentation
bin1100101110101…
…11110000101100
321102221111020200
412113113300230
5204314234212
614332513500
72434461624
oct627276054
9242844220
10106789932
1155309947
122b91b890
1319180212
141027b884
1595966dc
hex65d7c2c

106789932 has 36 divisors (see below), whose sum is σ = 270573576. Its totient is φ = 35513280.

The previous prime is 106789927. The next prime is 106789961. The reversal of 106789932 is 239987601.

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

It is a super-2 number, since 2×1067899322 = 22808179153129248, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13207 + ... + 19697.

Almost surely, 2106789932 is an apocalyptic number.

106789932 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106789932 is an abundant number, since it is smaller than the sum of its proper divisors (163783644).

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

106789932 is a wasteful number, since it uses less digits than its factorization.

106789932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6958 (or 6953 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The square root of 106789932 is about 10333.9214241255. The cubic root of 106789932 is about 474.4350542893.

The spelling of 106789932 in words is "one hundred six million, seven hundred eighty-nine thousand, nine hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 457 914 1371 1828 2742 4113 5484 6491 8226 12982 16452 19473 25964 38946 58419 77892 116838 233676 2966387 5932774 8899161 11865548 17798322 26697483 35596644 53394966 106789932