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3725540 = 2257132389
BaseRepresentation
bin1110001101100011100100
321000021110222
432031203210
51423204130
6211503512
743444430
oct16154344
97007428
103725540
112115065
1212b7b98
13a05980
146cd9c0
154d8ce5
hex38d8e4

3725540 has 96 divisors (see below), whose sum is σ = 10160640. Its totient is φ = 1115136.

The previous prime is 3725521. The next prime is 3725551. The reversal of 3725540 is 455273.

3725540 is digitally balanced in base 2 and base 5, because in such bases 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 (26).

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, 41816 + ... + 41904.

It is an arithmetic number, because the mean of its divisors is an integer number (105840).

Almost surely, 23725540 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 3725540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5080320).

3725540 is an abundant number, since it is smaller than the sum of its proper divisors (6435100).

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

3725540 is a wasteful number, since it uses less digits than its factorization.

3725540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 4200, while the sum is 26.

The square root of 3725540 is about 1930.1657959875. The cubic root of 3725540 is about 155.0230974945.

The spelling of 3725540 in words is "three million, seven hundred twenty-five thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 23 26 28 35 46 52 65 70 89 91 92 115 130 140 161 178 182 230 260 299 322 356 364 445 455 460 598 623 644 805 890 910 1157 1196 1246 1495 1610 1780 1820 2047 2093 2314 2492 2990 3115 3220 4094 4186 4628 5785 5980 6230 8099 8188 8372 10235 10465 11570 12460 14329 16198 20470 20930 23140 26611 28658 32396 40495 40940 41860 53222 57316 71645 80990 106444 133055 143290 161980 186277 266110 286580 372554 532220 745108 931385 1862770 3725540