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40215006 = 23213891931
BaseRepresentation
bin1001100101101…
…0000111011110
32210200010121200
42121122013132
540243340011
63553540330
7665551626
oct231320736
983603550
1040215006
1120778147
12115746a6
138440680
1454ab886
1537e5856
hex265a1de

40215006 has 48 divisors (see below), whose sum is σ = 94938480. Its totient is φ = 12228480.

The previous prime is 40214983. The next prime is 40215023. The reversal of 40215006 is 60051204.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 40215006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19861 + ... + 21791.

It is an arithmetic number, because the mean of its divisors is an integer number (1977885).

Almost surely, 240215006 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40215006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47469240).

40215006 is an abundant number, since it is smaller than the sum of its proper divisors (54723474).

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

40215006 is a wasteful number, since it uses less digits than its factorization.

40215006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2041 (or 2038 counting only the distinct ones).

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

The square root of 40215006 is about 6341.5302569648. The cubic root of 40215006 is about 342.6068531932.

The spelling of 40215006 in words is "forty million, two hundred fifteen thousand, six".

Divisors: 1 2 3 6 9 13 18 26 39 78 89 117 178 234 267 534 801 1157 1602 1931 2314 3471 3862 5793 6942 10413 11586 17379 20826 25103 34758 50206 75309 150618 171859 225927 343718 451854 515577 1031154 1546731 2234167 3093462 4468334 6702501 13405002 20107503 40215006