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40275630 = 2345192617
BaseRepresentation
bin1001100110100…
…0111010101110
32210210012210000
42121220322232
540302310010
63555125130
7666223443
oct231507256
983705700
1040275630
112080974a
12115a37a6
138462145
1454c59ca
1538087c0
hex2668eae

40275630 has 80 divisors (see below), whose sum is σ = 114040080. Its totient is φ = 10171008.

The previous prime is 40275629. The next prime is 40275689. The reversal of 40275630 is 3657204.

It is a happy number.

40275630 is a `hidden beast` number, since 4 + 0 + 27 + 5 + 630 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 40275594 and 40275603.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14082 + ... + 16698.

It is an arithmetic number, because the mean of its divisors is an integer number (1425501).

Almost surely, 240275630 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40275630, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (57020040).

40275630 is an abundant number, since it is smaller than the sum of its proper divisors (73764450).

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

40275630 is a wasteful number, since it uses less digits than its factorization.

40275630 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2655 (or 2646 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 40275630 is about 6346.3083757410. The cubic root of 40275630 is about 342.7789263541.

The spelling of 40275630 in words is "forty million, two hundred seventy-five thousand, six hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 114 135 162 171 190 270 285 342 405 513 570 810 855 1026 1539 1710 2565 2617 3078 5130 5234 7695 7851 13085 15390 15702 23553 26170 39255 47106 49723 70659 78510 99446 117765 141318 149169 211977 235530 248615 298338 353295 423954 447507 497230 706590 745845 895014 1059885 1342521 1491690 2119770 2237535 2685042 4027563 4475070 6712605 8055126 13425210 20137815 40275630