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106783340 = 22553131769
BaseRepresentation
bin1100101110101…
…10001001101100
321102221011012112
412113112021230
5204314031330
614332423152
72434433456
oct627261154
9242834175
10106783340
11553049a4
122b917ab8
131917a211
14102792d6
159594795
hex65d626c

106783340 has 48 divisors (see below), whose sum is σ = 230519520. Its totient is φ = 41533440.

The previous prime is 106783321. The next prime is 106783349. The reversal of 106783340 is 43387601.

It is a super-2 number, since 2×1067833402 = 22805363403111200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106783297 and 106783306.

It is not an unprimeable number, because it can be changed into a prime (106783349) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 138476 + ... + 139244.

It is an arithmetic number, because the mean of its divisors is an integer number (4802490).

Almost surely, 2106783340 is an apocalyptic number.

106783340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106783340 is an abundant number, since it is smaller than the sum of its proper divisors (123736180).

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

106783340 is a wasteful number, since it uses less digits than its factorization.

106783340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 962 (or 960 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The square root of 106783340 is about 10333.6024696134. The cubic root of 106783340 is about 474.4252920075.

The spelling of 106783340 in words is "one hundred six million, seven hundred eighty-three thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 131 212 262 265 524 530 655 769 1060 1310 1538 2620 3076 3845 6943 7690 13886 15380 27772 34715 40757 69430 81514 100739 138860 163028 201478 203785 402956 407570 503695 815140 1007390 2014780 5339167 10678334 21356668 26695835 53391670 106783340