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40056420 = 223517173227
BaseRepresentation
bin1001100011001…
…1011001100100
32210101002002010
42120303121210
540223301140
63550314220
7664321365
oct230633144
983332063
1040056420
1120679a88
12114b8970
1383b6431
145469b6c
1537b3880
hex2633664

40056420 has 96 divisors (see below), whose sum is σ = 119968128. Its totient is φ = 9951232.

The previous prime is 40056383. The next prime is 40056421. The reversal of 40056420 is 2465004.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (40056421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176347 + ... + 176573.

It is an arithmetic number, because the mean of its divisors is an integer number (1249668).

Almost surely, 240056420 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 40056420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (59984064).

40056420 is an abundant number, since it is smaller than the sum of its proper divisors (79911708).

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

40056420 is a wasteful number, since it uses less digits than its factorization.

40056420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 40056420 is about 6329.0141412387. The cubic root of 40056420 is about 342.1559085324.

The spelling of 40056420 in words is "forty million, fifty-six thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 173 204 227 255 340 346 454 510 519 681 692 865 908 1020 1038 1135 1362 1730 2076 2270 2595 2724 2941 3405 3460 3859 4540 5190 5882 6810 7718 8823 10380 11577 11764 13620 14705 15436 17646 19295 23154 29410 35292 38590 39271 44115 46308 57885 58820 77180 78542 88230 115770 117813 157084 176460 196355 231540 235626 392710 471252 589065 667607 785420 1178130 1335214 2002821 2356260 2670428 3338035 4005642 6676070 8011284 10014105 13352140 20028210 40056420