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106399240 = 23519139999
BaseRepresentation
bin1100101011110…
…00011000001000
321102012122022121
412111320120020
5204214233430
614320301024
72431243603
oct625703010
9242178277
10106399240
1155072362
122b771774
131907443c
14101b933a
15951aa7a
hex6578608

106399240 has 32 divisors (see below), whose sum is σ = 252000000. Its totient is φ = 40319424.

The previous prime is 106399229. The next prime is 106399253. The reversal of 106399240 is 42993601.

It is a super-2 number, since 2×1063992402 = 22641596545155200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106399196 and 106399205.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 69240 + ... + 70759.

It is an arithmetic number, because the mean of its divisors is an integer number (7875000).

Almost surely, 2106399240 is an apocalyptic number.

106399240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106399240 is an abundant number, since it is smaller than the sum of its proper divisors (145600760).

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

106399240 is a wasteful number, since it uses less digits than its factorization.

106399240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140029 (or 140025 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 106399240 is about 10315.0007270964. Note that the first 3 decimals coincide. The cubic root of 106399240 is about 473.8557721980.

The spelling of 106399240 in words is "one hundred six million, three hundred ninety-nine thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 19 20 38 40 76 95 152 190 380 760 139999 279998 559996 699995 1119992 1399990 2659981 2799980 5319962 5599960 10639924 13299905 21279848 26599810 53199620 106399240