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40974180 = 223513131401
BaseRepresentation
bin1001110001001…
…1011101100100
32212002201000020
42130103131210
540442133210
64022115140
71005163152
oct234233544
985081006
1040974180
1121146565
121187bab0
1386480a0
1456283d2
1538e5770
hex2713764

40974180 has 96 divisors (see below), whose sum is σ = 124806528. Its totient is φ = 9984000.

The previous prime is 40974179. The next prime is 40974191. The reversal of 40974180 is 8147904.

40974180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 101980 + ... + 102380.

It is an arithmetic number, because the mean of its divisors is an integer number (1300068).

Almost surely, 240974180 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 40974180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62403264).

40974180 is an abundant number, since it is smaller than the sum of its proper divisors (83832348).

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

40974180 is a wasteful number, since it uses less digits than its factorization.

40974180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557 (or 555 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 40974180 is about 6401.1077166378. The cubic root of 40974180 is about 344.7493243103.

The spelling of 40974180 in words is "forty million, nine hundred seventy-four thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 131 156 195 260 262 390 393 401 524 655 780 786 802 1203 1310 1572 1604 1703 1965 2005 2406 2620 3406 3930 4010 4812 5109 5213 6015 6812 7860 8020 8515 10218 10426 12030 15639 17030 20436 20852 24060 25545 26065 31278 34060 51090 52130 52531 62556 78195 102180 104260 105062 156390 157593 210124 262655 312780 315186 525310 630372 682903 787965 1050620 1365806 1575930 2048709 2731612 3151860 3414515 4097418 6829030 8194836 10243545 13658060 20487090 40974180