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40218930 = 2385613
BaseRepresentation
bin1001100101101…
…1000100110010
32210200100000000
42121123010302
540244001210
63554010430
7665566233
oct231330462
983610000
1040218930
1120780094
1211576a16
1384423ab
1454ad08a
1537e6ac0
hex265b132

40218930 has 72 divisors (see below), whose sum is σ = 108762732. Its totient is φ = 10707552.

The previous prime is 40218917. The next prime is 40218931. The reversal of 40218930 is 3981204.

It can be written as a sum of positive squares in 2 ways, for example, as 33074001 + 7144929 = 5751^2 + 2673^2 .

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 = 40218894 and 40218903.

It is not an unprimeable number, because it can be changed into a prime (40218931) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 65304 + ... + 65916.

Almost surely, 240218930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40218930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54381366).

40218930 is an abundant number, since it is smaller than the sum of its proper divisors (68543802).

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

40218930 is an frugal number, since it uses more digits than its factorization.

40218930 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 623 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 40218930 is about 6341.8396384645. The cubic root of 40218930 is about 342.6179961777.

The spelling of 40218930 in words is "forty million, two hundred eighteen thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 486 613 729 810 1215 1226 1458 1839 2187 2430 3065 3645 3678 4374 5517 6130 6561 7290 9195 10935 11034 13122 16551 18390 21870 27585 32805 33102 49653 55170 65610 82755 99306 148959 165510 248265 297918 446877 496530 744795 893754 1340631 1489590 2234385 2681262 4021893 4468770 6703155 8043786 13406310 20109465 40218930