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106457932 = 22761157397
BaseRepresentation
bin1100101100001…
…10101101001100
321102022121211101
412112012231030
5204223123212
614321432444
72431606660
oct626065514
9242277741
10106457932
1155102469
122b79b724
1319095079
14101d28a0
15952d157
hex6586b4c

106457932 has 48 divisors (see below), whose sum is σ = 218333248. Its totient is φ = 44478720.

The previous prime is 106457909. The next prime is 106457941. The reversal of 106457932 is 239754601.

It is a super-2 number, since 2×1064579322 = 22666582571433248, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106457891 and 106457900.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 267958 + ... + 268354.

Almost surely, 2106457932 is an apocalyptic number.

It is an amenable number.

106457932 is an abundant number, since it is smaller than the sum of its proper divisors (111875316).

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

106457932 is a wasteful number, since it uses less digits than its factorization.

106457932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 624 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 37.

The square root of 106457932 is about 10317.8453177008. The cubic root of 106457932 is about 473.9428856985.

It can be divided in two parts, 1064 and 57932, that added together give a triangular number (58996 = T343).

The spelling of 106457932 in words is "one hundred six million, four hundred fifty-seven thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 28 61 122 157 244 314 397 427 628 794 854 1099 1588 1708 2198 2779 4396 5558 9577 11116 19154 24217 38308 48434 62329 67039 96868 124658 134078 169519 249316 268156 339038 436303 678076 872606 1745212 3802069 7604138 15208276 26614483 53228966 106457932