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40406740 = 22511259283
BaseRepresentation
bin1001101000100…
…0111011010100
32211000212121221
42122020323110
540321003430
64002020124
71000310623
oct232107324
984025557
1040406740
1120899200
1211647644
1384a9a1a
14551b6ba
15383257a
hex2688ed4

40406740 has 72 divisors (see below), whose sum is σ = 95185440. Its totient is φ = 14393280.

The previous prime is 40406687. The next prime is 40406747. The reversal of 40406740 is 4760404.

40406740 = T416 + T417 + ... + T679.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40406747) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142639 + ... + 142921.

It is an arithmetic number, because the mean of its divisors is an integer number (1322020).

Almost surely, 240406740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40406740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47592720).

40406740 is an abundant number, since it is smaller than the sum of its proper divisors (54778700).

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

40406740 is a wasteful number, since it uses less digits than its factorization.

40406740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 373 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 25.

The square root of 40406740 is about 6356.6296101000. The cubic root of 40406740 is about 343.1504749926.

The spelling of 40406740 in words is "forty million, four hundred six thousand, seven hundred forty".

Divisors: 1 2 4 5 10 11 20 22 44 55 59 110 118 121 220 236 242 283 295 484 566 590 605 649 1132 1180 1210 1298 1415 2420 2596 2830 3113 3245 5660 6226 6490 7139 12452 12980 14278 15565 16697 28556 31130 33394 34243 35695 62260 66788 68486 71390 83485 136972 142780 166970 171215 183667 333940 342430 367334 684860 734668 918335 1836670 2020337 3673340 4040674 8081348 10101685 20203370 40406740