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3900540 = 2235737251
BaseRepresentation
bin1110111000010001111100
321100011112110
432320101330
51444304130
6215334020
745103560
oct16702174
97304473
103900540
112224596
121381310
13a67517
147376a0
15520ab0
hex3b847c

3900540 has 96 divisors (see below), whose sum is σ = 12870144. Its totient is φ = 864000.

The previous prime is 3900517. The next prime is 3900563. The reversal of 3900540 is 450093.

It is an interprime number because it is at equal distance from previous prime (3900517) and next prime (3900563).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15415 + ... + 15665.

It is an arithmetic number, because the mean of its divisors is an integer number (134064).

Almost surely, 23900540 is an apocalyptic number.

3900540 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 3900540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6435072).

3900540 is an abundant number, since it is smaller than the sum of its proper divisors (8969604).

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

3900540 is a wasteful number, since it uses less digits than its factorization.

3900540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 21.

The square root of 3900540 is about 1974.9784808954. The cubic root of 3900540 is about 157.4133562244.

The spelling of 3900540 in words is "three million, nine hundred thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 251 259 370 420 444 502 518 555 740 753 777 1004 1036 1110 1255 1295 1506 1554 1757 2220 2510 2590 3012 3108 3514 3765 3885 5020 5180 5271 7028 7530 7770 8785 9287 10542 15060 15540 17570 18574 21084 26355 27861 35140 37148 46435 52710 55722 65009 92870 105420 111444 130018 139305 185740 195027 260036 278610 325045 390054 557220 650090 780108 975135 1300180 1950270 3900540