Search a number
-
+
4202041320 = 2333531125509
BaseRepresentation
bin1111101001110110…
…0000111111101000
3101211211212211001000
43322131200333220
532101210310240
61532544155000
7206062522221
oct37235407750
911754784030
104202041320
111866a40924
12993308a60
1351c741ba9
142bc108248
15198d84430
hexfa760fe8

4202041320 has 128 divisors (see below), whose sum is σ = 14458752000. Its totient is φ = 1084389120.

The previous prime is 4202041297. The next prime is 4202041331. The reversal of 4202041320 is 231402024.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 4202041293 and 4202041302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 29275 + ... + 96234.

It is an arithmetic number, because the mean of its divisors is an integer number (112959000).

Almost surely, 24202041320 is an apocalyptic number.

4202041320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4202041320 is an abundant number, since it is smaller than the sum of its proper divisors (10256710680).

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

4202041320 is a wasteful number, since it uses less digits than its factorization.

4202041320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125560 (or 125550 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 4202041320 is about 64823.1541966295. The cubic root of 4202041320 is about 1613.6899944948.

Adding to 4202041320 its reverse (231402024), we get a palindrome (4433443344).

The spelling of 4202041320 in words is "four billion, two hundred two million, forty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 31 36 40 45 54 60 62 72 90 93 108 120 124 135 155 180 186 216 248 270 279 310 360 372 465 540 558 620 744 837 930 1080 1116 1240 1395 1674 1860 2232 2790 3348 3720 4185 5580 6696 8370 11160 16740 33480 125509 251018 376527 502036 627545 753054 1004072 1129581 1255090 1506108 1882635 2259162 2510180 3012216 3388743 3765270 3890779 4518324 5020360 5647905 6777486 7530540 7781558 9036648 11295810 11672337 13554972 15061080 15563116 16943715 19453895 22591620 23344674 27109944 31126232 33887430 35017011 38907790 45183240 46689348 58361685 67774860 70034022 77815580 93378696 105051033 116723370 135549720 140068044 155631160 175085055 210102066 233446740 280136088 350170110 420204132 466893480 525255165 700340220 840408264 1050510330 1400680440 2101020660 4202041320