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106032240 = 2434516363
BaseRepresentation
bin1100101000111…
…10110001110000
321101111222220000
412110132301300
5204121012430
614304350000
72425154616
oct624366160
9241458800
10106032240
1154941656
122b615300
1318c76392
14101216b6
159496e60
hex651ec70

106032240 has 100 divisors (see below), whose sum is σ = 368288184. Its totient is φ = 28273536.

The previous prime is 106032221. The next prime is 106032253. The reversal of 106032240 is 42230601.

It is a happy number.

106032240 is a `hidden beast` number, since 1 + 0 + 603 + 22 + 40 = 666.

It is a super-2 number, since 2×1060322402 = 22485671838835200, 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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1702 + ... + 14661.

Almost surely, 2106032240 is an apocalyptic number.

106032240 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 106032240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184144092).

106032240 is an abundant number, since it is smaller than the sum of its proper divisors (262255944).

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

106032240 is a wasteful number, since it uses less digits than its factorization.

106032240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16388 (or 16373 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 106032240 is about 10297.1957347620. The cubic root of 106032240 is about 473.3103253160.

Adding to 106032240 its reverse (42230601), we get a palindrome (148262841).

The spelling of 106032240 in words is "one hundred six million, thirty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 16363 32726 49089 65452 81815 98178 130904 147267 163630 196356 245445 261808 294534 327260 392712 441801 490890 589068 654520 736335 785424 883602 981780 1178136 1309040 1325403 1472670 1767204 1963560 2209005 2356272 2650806 2945340 3534408 3927120 4418010 5301612 5890680 6627015 7068816 8836020 10603224 11781360 13254030 17672040 21206448 26508060 35344080 53016120 106032240