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106334928 = 24327105491
BaseRepresentation
bin1100101011010…
…00101011010000
321102002101002200
412111220223100
5204210204203
614315043200
72430555240
oct625505320
9242071080
10106334928
1155029007
122b740500
131905109b
141019db20
1595069a3
hex6568ad0

106334928 has 60 divisors (see below), whose sum is σ = 340106208. Its totient is φ = 30381120.

The previous prime is 106334923. The next prime is 106334951. The reversal of 106334928 is 829433601.

106334928 is a `hidden beast` number, since 10 + 633 + 4 + 9 + 2 + 8 = 666.

It is a super-2 number, since 2×1063349282 = 22614233825530368, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 106334892 and 106334901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106334923) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51738 + ... + 53753.

Almost surely, 2106334928 is an apocalyptic number.

106334928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106334928 is an abundant number, since it is smaller than the sum of its proper divisors (233771280).

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

106334928 is a wasteful number, since it uses less digits than its factorization.

106334928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105512 (or 105503 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 106334928 is about 10311.8828542609. The cubic root of 106334928 is about 473.7602804303.

The spelling of 106334928 in words is "one hundred six million, three hundred thirty-four thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 105491 210982 316473 421964 632946 738437 843928 949419 1265892 1476874 1687856 1898838 2215311 2531784 2953748 3797676 4430622 5063568 5907496 6645933 7595352 8861244 11814992 13291866 15190704 17722488 26583732 35444976 53167464 106334928