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3745980 = 223357991
BaseRepresentation
bin1110010010100010111100
321001022112000
432102202330
51424332410
6212142300
743561140
oct16224274
97038460
103745980
112129457
121307990
13a12074
146d7220
154dedc0
hex3928bc

3745980 has 96 divisors (see below), whose sum is σ = 13332480. Its totient is φ = 855360.

The previous prime is 3745961. The next prime is 3745997. The reversal of 3745980 is 895473.

3745980 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3285 + ... + 4275.

It is an arithmetic number, because the mean of its divisors is an integer number (138880).

Almost surely, 23745980 is an apocalyptic number.

3745980 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3745980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6666240).

3745980 is an abundant number, since it is smaller than the sum of its proper divisors (9586500).

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

3745980 is a wasteful number, since it uses less digits than its factorization.

3745980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1016 (or 1008 counting only the distinct ones).

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

The square root of 3745980 is about 1935.4534352446. The cubic root of 3745980 is about 155.3060895608.

The spelling of 3745980 in words is "three million, seven hundred forty-five thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 84 90 105 108 126 135 140 180 189 210 252 270 315 378 420 540 630 756 945 991 1260 1890 1982 2973 3780 3964 4955 5946 6937 8919 9910 11892 13874 14865 17838 19820 20811 26757 27748 29730 34685 35676 41622 44595 53514 59460 62433 69370 83244 89190 104055 107028 124866 133785 138740 178380 187299 208110 249732 267570 312165 374598 416220 535140 624330 749196 936495 1248660 1872990 3745980