Search a number
-
+
1418250120 = 23357334457
BaseRepresentation
bin101010010001000…
…1100011110001000
310122211200120102020
41110202030132020
510401033000440
6352422004440
750100633000
oct12442143610
93584616366
101418250120
11668624341
12336b76720
13197a9b571
14d6503000
158479c3d0
hex5488c788

1418250120 has 128 divisors (see below), whose sum is σ = 4961952000. Its totient is φ = 324162048.

The previous prime is 1418250103. The next prime is 1418250137. The reversal of 1418250120 is 210528141.

It is an interprime number because it is at equal distance from previous prime (1418250103) and next prime (1418250137).

It is a super-2 number, since 2×14182501202 = 4022866805760028800, which contains 22 as substring.

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

It is a congruent number.

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, 23932 + ... + 58388.

It is an arithmetic number, because the mean of its divisors is an integer number (38765250).

Almost surely, 21418250120 is an apocalyptic number.

1418250120 is a gapful number since it is divisible by the number (10) 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 1418250120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2480976000).

1418250120 is an abundant number, since it is smaller than the sum of its proper divisors (3543701880).

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

1418250120 is a wasteful number, since it uses less digits than its factorization.

1418250120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34492 (or 34474 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 24.

The square root of 1418250120 is about 37659.6617085178. The cubic root of 1418250120 is about 1123.5289731564.

Adding to 1418250120 its reverse (210528141), we get a palindrome (1628778261).

The spelling of 1418250120 in words is "one billion, four hundred eighteen million, two hundred fifty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 343 392 420 490 588 686 735 840 980 1029 1176 1372 1470 1715 1960 2058 2744 2940 3430 4116 5145 5880 6860 8232 10290 13720 20580 34457 41160 68914 103371 137828 172285 206742 241199 275656 344570 413484 482398 516855 689140 723597 826968 964796 1033710 1205995 1378280 1447194 1688393 1929592 2067420 2411990 2894388 3376786 3617985 4134840 4823980 5065179 5788776 6753572 7235970 8441965 9647960 10130358 11818751 13507144 14471940 16883930 20260716 23637502 25325895 28943880 33767860 35456253 40521432 47275004 50651790 59093755 67535720 70912506 94550008 101303580 118187510 141825012 177281265 202607160 236375020 283650024 354562530 472750040 709125060 1418250120