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40357980 = 22335135749
BaseRepresentation
bin1001100111110…
…1000001011100
32210221101202000
42121331001130
540312423410
64001002300
71000015515
oct231750134
983841660
1040357980
1120865603
1211623390
138490780
145507a0c
153822dc0
hex267d05c

40357980 has 96 divisors (see below), whose sum is σ = 135240000. Its totient is φ = 9932544.

The previous prime is 40357979. The next prime is 40358023. The reversal of 40357980 is 8975304.

40357980 is a `hidden beast` number, since 4 + 0 + 3 + 579 + 80 = 666.

40357980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4146 + ... + 9894.

It is an arithmetic number, because the mean of its divisors is an integer number (1408750).

Almost surely, 240357980 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 40357980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67620000).

40357980 is an abundant number, since it is smaller than the sum of its proper divisors (94882020).

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

40357980 is a wasteful number, since it uses less digits than its factorization.

40357980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5780 (or 5772 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The square root of 40357980 is about 6352.7930865093. The cubic root of 40357980 is about 343.0123895147.

The spelling of 40357980 in words is "forty million, three hundred fifty-seven thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 27 30 36 39 45 52 54 60 65 78 90 108 117 130 135 156 180 195 234 260 270 351 390 468 540 585 702 780 1170 1404 1755 2340 3510 5749 7020 11498 17247 22996 28745 34494 51741 57490 68988 74737 86235 103482 114980 149474 155223 172470 206964 224211 258705 298948 310446 344940 373685 448422 517410 620892 672633 747370 776115 896844 1034820 1121055 1345266 1494740 1552230 2017899 2242110 2690532 3104460 3363165 4035798 4484220 6726330 8071596 10089495 13452660 20178990 40357980