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40618980 = 223251131997
BaseRepresentation
bin1001101011110…
…0101111100100
32211102122202200
42122330233210
540344301410
64010334500
71002153453
oct232745744
984378680
1040618980
1120a23706
121172a430
1385524cc
145574b9a
1538753c0
hex26bcbe4

40618980 has 72 divisors (see below), whose sum is σ = 124363512. Its totient is φ = 10730496.

The previous prime is 40618969. The next prime is 40618999. The reversal of 40618980 is 8981604.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3968064 + 36650916 = 1992^2 + 6054^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19342 + ... + 21338.

It is an arithmetic number, because the mean of its divisors is an integer number (1727271).

Almost surely, 240618980 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 40618980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62181756).

40618980 is an abundant number, since it is smaller than the sum of its proper divisors (83744532).

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

40618980 is a wasteful number, since it uses less digits than its factorization.

40618980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2125 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 40618980 is about 6373.3021268413. The cubic root of 40618980 is about 343.7502355921.

It can be divided in two parts, 4061 and 8980, that added together give a triangular number (13041 = T161).

The spelling of 40618980 in words is "forty million, six hundred eighteen thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 113 180 226 339 452 565 678 1017 1130 1356 1695 1997 2034 2260 3390 3994 4068 5085 5991 6780 7988 9985 10170 11982 17973 19970 20340 23964 29955 35946 39940 59910 71892 89865 119820 179730 225661 359460 451322 676983 902644 1128305 1353966 2030949 2256610 2707932 3384915 4061898 4513220 6769830 8123796 10154745 13539660 20309490 40618980