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40137020 = 22571167389
BaseRepresentation
bin1001100100011…
…1000100111100
32210112011122022
42121013010330
540233341040
63552135312
7665105360
oct231070474
983464568
1040137020
11207245a0
1211537538
138414021
14548b2a0
1537cc6b5
hex264713c

40137020 has 96 divisors (see below), whose sum is σ = 106928640. Its totient is φ = 12291840.

The previous prime is 40136989. The next prime is 40137049. The reversal of 40137020 is 2073104.

It is a happy number.

It is a super-2 number, since 2×401370202 = 3221960748960800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 40137020.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102986 + ... + 103374.

It is an arithmetic number, because the mean of its divisors is an integer number (1113840).

Almost surely, 240137020 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 40137020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53464320).

40137020 is an abundant number, since it is smaller than the sum of its proper divisors (66791620).

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

40137020 is a wasteful number, since it uses less digits than its factorization.

40137020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 483 (or 481 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 40137020 is about 6335.3784417350. The cubic root of 40137020 is about 342.3852458013.

The spelling of 40137020 in words is "forty million, one hundred thirty-seven thousand, twenty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 67 70 77 110 134 140 154 220 268 308 335 385 389 469 670 737 770 778 938 1340 1474 1540 1556 1876 1945 2345 2723 2948 3685 3890 4279 4690 5159 5446 7370 7780 8558 9380 10318 10892 13615 14740 17116 20636 21395 25795 26063 27230 29953 42790 51590 52126 54460 59906 85580 103180 104252 119812 130315 149765 182441 260630 286693 299530 364882 521260 573386 599060 729764 912205 1146772 1433465 1824410 2006851 2866930 3648820 4013702 5733860 8027404 10034255 20068510 40137020