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4140720 = 2436571
BaseRepresentation
bin1111110010111010110000
321210101000000
433302322300
52030000340
6224430000
750124033
oct17627260
97711000
104140720
112378a91
121478300
13b1c93c
1479b01a
1556bd30
hex3f2eb0

4140720 has 140 divisors (see below), whose sum is σ = 14637456. Its totient is φ = 1088640.

The previous prime is 4140709. The next prime is 4140733. The reversal of 4140720 is 270414.

It is a happy number.

It is a hoax number, since the sum of its digits (18) 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 (18).

It is a nialpdrome in base 9.

It is a zygodrome in base 9.

It is a junction number, because it is equal to n+sod(n) for n = 4140693 and 4140702.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 58285 + ... + 58355.

Almost surely, 24140720 is an apocalyptic number.

4140720 is a gapful number since it is divisible by the number (40) 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 4140720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7318728).

4140720 is an abundant number, since it is smaller than the sum of its proper divisors (10496736).

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

4140720 is an equidigital number, since it uses as much as digits as its factorization.

4140720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 4140720 is about 2034.8759175930. The cubic root of 4140720 is about 160.5801852802.

The spelling of 4140720 in words is "four million, one hundred forty thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 71 72 80 81 90 108 120 135 142 144 162 180 213 216 240 243 270 284 324 355 360 405 426 432 486 540 568 639 648 710 720 729 810 852 972 1065 1080 1136 1215 1278 1296 1420 1458 1620 1704 1917 1944 2130 2160 2430 2556 2840 2916 3195 3240 3408 3645 3834 3888 4260 4860 5112 5680 5751 5832 6390 6480 7290 7668 8520 9585 9720 10224 11502 11664 12780 14580 15336 17040 17253 19170 19440 23004 25560 28755 29160 30672 34506 38340 46008 51120 51759 57510 58320 69012 76680 86265 92016 103518 115020 138024 153360 172530 207036 230040 258795 276048 345060 414072 460080 517590 690120 828144 1035180 1380240 2070360 4140720