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40106520 = 23325373011
BaseRepresentation
bin1001100011111…
…1101000011000
32210110121210200
42120333220120
540231402040
63551342200
7664620426
oct230775030
983417720
1040106520
1120703693
1211521960
13840318c
145480116
1537c3630
hex263fa18

40106520 has 96 divisors (see below), whose sum is σ = 133913520. Its totient is φ = 10402560.

The previous prime is 40106509. The next prime is 40106543. The reversal of 40106520 is 2560104.

It is a happy number.

40106520 is a `hidden beast` number, since 4 + 0 + 10 + 652 + 0 = 666.

40106520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 40106493 and 40106502.

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 23 ways as a sum of consecutive naturals, for example, 11815 + ... + 14825.

Almost surely, 240106520 is an apocalyptic number.

40106520 is a gapful number since it is divisible by the number (40) 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 40106520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66956760).

40106520 is an abundant number, since it is smaller than the sum of its proper divisors (93807000).

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

40106520 is a wasteful number, since it uses less digits than its factorization.

40106520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3065 (or 3058 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 40106520 is about 6332.9708668207. The cubic root of 40106520 is about 342.2984979872.

Adding to 40106520 its reverse (2560104), we get a palindrome (42666624).

The spelling of 40106520 in words is "forty million, one hundred six thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 37 40 45 60 72 74 90 111 120 148 180 185 222 296 333 360 370 444 555 666 740 888 1110 1332 1480 1665 2220 2664 3011 3330 4440 6022 6660 9033 12044 13320 15055 18066 24088 27099 30110 36132 45165 54198 60220 72264 90330 108396 111407 120440 135495 180660 216792 222814 270990 334221 361320 445628 541980 557035 668442 891256 1002663 1083960 1114070 1336884 1671105 2005326 2228140 2673768 3342210 4010652 4456280 5013315 6684420 8021304 10026630 13368840 20053260 40106520