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4194240 = 263517257
BaseRepresentation
bin1111111111111111000000
321220002102020
433333333000
52033203430
6225521440
750436051
oct17777700
97802366
104194240
112405216
1214a3280
13b3b0cb
147b2728
1557cb10
hex3fffc0

4194240 has 112 divisors (see below), whose sum is σ = 14154912. Its totient is φ = 1048576.

The previous prime is 4194217. The next prime is 4194247. The reversal of 4194240 is 424914.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 2 and base 4.

It is a zygodrome in base 2 and base 4.

It is a self number, because there is not a number n which added to its sum of digits gives 4194240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194247) by changing a digit.

In principle, a polygon with 4194240 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16192 + ... + 16448.

Almost surely, 24194240 is an apocalyptic number.

4194240 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 4194240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7077456).

4194240 is an abundant number, since it is smaller than the sum of its proper divisors (9960672).

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

4194240 is a wasteful number, since it uses less digits than its factorization.

4194240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 284 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 4194240 is about 2047.9843749404. The cubic root of 4194240 is about 161.2690741213.

The spelling of 4194240 in words is "four million, one hundred ninety-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 32 34 40 48 51 60 64 68 80 85 96 102 120 136 160 170 192 204 240 255 257 272 320 340 408 480 510 514 544 680 771 816 960 1020 1028 1088 1285 1360 1542 1632 2040 2056 2570 2720 3084 3264 3855 4080 4112 4369 5140 5440 6168 7710 8160 8224 8738 10280 12336 13107 15420 16320 16448 17476 20560 21845 24672 26214 30840 34952 41120 43690 49344 52428 61680 65535 69904 82240 87380 104856 123360 131070 139808 174760 209712 246720 262140 279616 349520 419424 524280 699040 838848 1048560 1398080 2097120 4194240