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1418518920 = 2335713129901
BaseRepresentation
bin101010010001100…
…1110000110001000
310122212012020010210
41110203032012020
510401120101140
6352431441120
750103132450
oct12443160610
93585166123
101418518920
11668798295
123370861a0
13197b63a10
14d6572d60
1584801d80
hex548ce188

1418518920 has 128 divisors (see below), whose sum is σ = 5237648640. Its totient is φ = 299289600.

The previous prime is 1418518909. The next prime is 1418518921. The reversal of 1418518920 is 298158141.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (1418518921) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 54031 + ... + 75870.

It is an arithmetic number, because the mean of its divisors is an integer number (40919130).

Almost surely, 21418518920 is an apocalyptic number.

1418518920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1418518920 is an abundant number, since it is smaller than the sum of its proper divisors (3819129720).

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

1418518920 is a wasteful number, since it uses less digits than its factorization.

1418518920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129935 (or 129931 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 39.

The square root of 1418518920 is about 37663.2303447275. The cubic root of 1418518920 is about 1123.5999492384.

The spelling of 1418518920 in words is "one billion, four hundred eighteen million, five hundred eighteen thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 20 21 24 26 28 30 35 39 40 42 52 56 60 65 70 78 84 91 104 105 120 130 140 156 168 182 195 210 260 273 280 312 364 390 420 455 520 546 728 780 840 910 1092 1365 1560 1820 2184 2730 3640 5460 10920 129901 259802 389703 519604 649505 779406 909307 1039208 1299010 1558812 1688713 1818614 1948515 2598020 2727921 3117624 3377426 3637228 3897030 4546535 5066139 5196040 5455842 6754852 7274456 7794060 8443565 9093070 10132278 10911684 11820991 13509704 13639605 15588120 16887130 18186140 20264556 21823368 23641982 25330695 27279210 33774260 35462973 36372280 40529112 47283964 50661390 54558420 59104955 67548520 70925946 94567928 101322780 109116840 118209910 141851892 177314865 202645560 236419820 283703784 354629730 472839640 709259460 1418518920