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3950640 = 243353159
BaseRepresentation
bin1111000100100000110000
321102201021000
433010200300
52002410030
6220402000
745402621
oct17044060
97381230
103950640
1122591a1
1213a6300
13a84275
1474ba48
15530860
hex3c4830

3950640 has 160 divisors (see below), whose sum is σ = 14284800. Its totient is φ = 1002240.

The previous prime is 3950629. The next prime is 3950657. The reversal of 3950640 is 460593.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 66931 + ... + 66989.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

Almost surely, 23950640 is an apocalyptic number.

3950640 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 3950640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7142400).

3950640 is an abundant number, since it is smaller than the sum of its proper divisors (10334160).

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

3950640 is a wasteful number, since it uses less digits than its factorization.

3950640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3950640 is about 1987.6216943875. The cubic root of 3950640 is about 158.0844498603.

The spelling of 3950640 in words is "three million, nine hundred fifty thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 31 36 40 45 48 54 59 60 62 72 80 90 93 108 118 120 124 135 144 155 177 180 186 216 236 240 248 270 279 295 310 354 360 372 432 465 472 496 531 540 558 590 620 708 720 744 837 885 930 944 1062 1080 1116 1180 1240 1395 1416 1488 1593 1674 1770 1829 1860 2124 2160 2232 2360 2480 2655 2790 2832 3186 3348 3540 3658 3720 4185 4248 4464 4720 5310 5487 5580 6372 6696 7080 7316 7440 7965 8370 8496 9145 10620 10974 11160 12744 13392 14160 14632 15930 16461 16740 18290 21240 21948 22320 25488 27435 29264 31860 32922 33480 36580 42480 43896 49383 54870 63720 65844 66960 73160 82305 87792 98766 109740 127440 131688 146320 164610 197532 219480 246915 263376 329220 395064 438960 493830 658440 790128 987660 1316880 1975320 3950640