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106313240 = 235111761233
BaseRepresentation
bin1100101011000…
…11011000011000
321102001021100102
412111203120120
5204204010430
614314354532
72430435065
oct625433030
9242037312
10106313240
1155013790
122b72ba48
1319044257
1410195c6c
159500345
hex6563618

106313240 has 128 divisors (see below), whose sum is σ = 282035520. Its totient is φ = 35635200.

The previous prime is 106313219. The next prime is 106313293. The reversal of 106313240 is 42313601.

It is a super-2 number, since 2×1063132402 = 22605009998595200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 456164 + ... + 456396.

Almost surely, 2106313240 is an apocalyptic number.

106313240 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 106313240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141017760).

106313240 is an abundant number, since it is smaller than the sum of its proper divisors (175722280).

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

106313240 is a wasteful number, since it uses less digits than its factorization.

106313240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

The square root of 106313240 is about 10310.8311983079. The cubic root of 106313240 is about 473.7280689648.

Adding to 106313240 its reverse (42313601), we get a palindrome (148626841).

The spelling of 106313240 in words is "one hundred six million, three hundred thirteen thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 61 68 85 88 110 122 136 170 187 220 233 244 305 340 374 440 466 488 610 671 680 748 932 935 1037 1165 1220 1342 1496 1864 1870 2074 2330 2440 2563 2684 3355 3740 3961 4148 4660 5126 5185 5368 6710 7480 7922 8296 9320 10252 10370 11407 12815 13420 14213 15844 19805 20504 20740 22814 25630 26840 28426 31688 39610 41480 43571 45628 51260 56852 57035 71065 79220 87142 91256 102520 113704 114070 142130 156343 158440 174284 217855 228140 241621 284260 312686 348568 435710 456280 483242 568520 625372 781715 871420 966484 1208105 1250744 1563430 1742840 1932968 2416210 2657831 3126860 4832420 5315662 6253720 9664840 10631324 13289155 21262648 26578310 53156620 106313240