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106113240 = 233751213
BaseRepresentation
bin1100101001100…
…10100011011000
321101200010000000
412110302203120
5204131110430
614310213000
72425643022
oct624624330
9241603000
10106113240
11549974a2
122b654160
1318ca41cc
1410143012
1594b0e60
hex65328d8

106113240 has 128 divisors (see below), whose sum is σ = 358372800. Its totient is φ = 28273536.

The previous prime is 106113229. The next prime is 106113257. The reversal of 106113240 is 42311601.

It is a happy number.

106113240 is a `hidden beast` number, since 10 + 611 + 3 + 2 + 40 = 666.

It is a super-2 number, since 2×1061132402 = 22520039406595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86874 + ... + 88086.

Almost surely, 2106113240 is an apocalyptic number.

106113240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106113240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179186400).

106113240 is an abundant number, since it is smaller than the sum of its proper divisors (252259560).

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

106113240 is an equidigital number, since it uses as much as digits as its factorization.

106113240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1223 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 106113240 is about 10301.1280935633. The cubic root of 106113240 is about 473.4308181588.

Adding to 106113240 its reverse (42311601), we get a palindrome (148424841).

The spelling of 106113240 in words is "one hundred six million, one hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 729 810 972 1080 1213 1215 1458 1620 1944 2187 2426 2430 2916 3240 3639 3645 4374 4852 4860 5832 6065 7278 7290 8748 9704 9720 10917 10935 12130 14556 14580 17496 18195 21834 21870 24260 29112 29160 32751 36390 43668 43740 48520 54585 65502 72780 87336 87480 98253 109170 131004 145560 163755 196506 218340 262008 294759 327510 393012 436680 491265 589518 655020 786024 884277 982530 1179036 1310040 1473795 1768554 1965060 2358072 2652831 2947590 3537108 3930120 4421385 5305662 5895180 7074216 8842770 10611324 11790360 13264155 17685540 21222648 26528310 35371080 53056620 106113240