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106060240 = 245111373127
BaseRepresentation
bin1100101001001…
…01100111010000
321101120102022001
412110211213100
5204122411430
614305123344
72425332346
oct624454720
9241512261
10106060240
11549606a0
122b629554
1318c86050
141012b996
1594a03ca
hex65259d0

106060240 has 160 divisors (see below), whose sum is σ = 295981056. Its totient is φ = 34836480.

The previous prime is 106060217. The next prime is 106060243. The reversal of 106060240 is 42060601.

It is a super-2 number, since 2×1060602402 = 22497549017715200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106060243) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 835057 + ... + 835183.

Almost surely, 2106060240 is an apocalyptic number.

106060240 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 106060240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147990528).

106060240 is an abundant number, since it is smaller than the sum of its proper divisors (189920816).

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

106060240 is a wasteful number, since it uses less digits than its factorization.

106060240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 106060240 is about 10298.5552384788. Note that the first 3 decimals coincide. The cubic root of 106060240 is about 473.3519841006.

The spelling of 106060240 in words is "one hundred six million, sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 40 44 52 55 65 73 80 88 104 110 127 130 143 146 176 208 220 254 260 286 292 365 440 508 520 572 584 635 715 730 803 880 949 1016 1040 1144 1168 1270 1397 1430 1460 1606 1651 1898 2032 2288 2540 2794 2860 2920 3212 3302 3796 4015 4745 5080 5588 5720 5840 6424 6604 6985 7592 8030 8255 9271 9490 10160 10439 11176 11440 12848 13208 13970 15184 16060 16510 18161 18542 18980 20878 22352 26416 27940 32120 33020 36322 37084 37960 41756 46355 52195 55880 64240 66040 72644 74168 75920 83512 90805 92710 101981 104390 111760 120523 132080 145288 148336 167024 181610 185420 203962 208780 241046 290576 363220 370840 407924 417560 482092 509905 602615 726440 741680 815848 835120 964184 1019810 1205230 1325753 1452880 1631696 1928368 2039620 2410460 2651506 4079240 4820920 5303012 6628765 8158480 9641840 10606024 13257530 21212048 26515060 53030120 106060240