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3942720 = 26325372
BaseRepresentation
bin1111000010100101000000
321102022101200
433002211000
52002131340
6220301200
745340545
oct17024500
97368350
103942720
112253251
1213a1800
13a80792
14748bcc
1552d330
hex3c2940

3942720 has 126 divisors (see below), whose sum is σ = 13937742. Its totient is φ = 1022976.

The previous prime is 3942677. The next prime is 3942721. The reversal of 3942720 is 272493.

3942720 is a `hidden beast` number, since 394 + 272 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 1937664 + 2005056 = 1392^2 + 1416^2 .

It is a zygodrome in base 4.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3942721) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 106542 + ... + 106578.

It is an arithmetic number, because the mean of its divisors is an integer number (110617).

Almost surely, 23942720 is an apocalyptic number.

3942720 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 3942720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6968871).

3942720 is an abundant number, since it is smaller than the sum of its proper divisors (9995022).

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

3942720 is a wasteful number, since it uses less digits than its factorization.

3942720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The square root of 3942720 is about 1985.6283640198. The cubic root of 3942720 is about 157.9787398623.

The spelling of 3942720 in words is "three million, nine hundred forty-two thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 64 72 74 80 90 96 111 120 144 148 160 180 185 192 222 240 288 296 320 333 360 370 444 480 555 576 592 666 720 740 888 960 1110 1184 1332 1369 1440 1480 1665 1776 2220 2368 2664 2738 2880 2960 3330 3552 4107 4440 5328 5476 5920 6660 6845 7104 8214 8880 10656 10952 11840 12321 13320 13690 16428 17760 20535 21312 21904 24642 26640 27380 32856 35520 41070 43808 49284 53280 54760 61605 65712 82140 87616 98568 106560 109520 123210 131424 164280 197136 219040 246420 262848 328560 394272 438080 492840 657120 788544 985680 1314240 1971360 3942720