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1413123220 = 2252331412417
BaseRepresentation
bin101010000111010…
…1000110010010100
310122111001002122001
41110032220302110
510343224420340
6352120045044
750006230525
oct12416506224
93574032561
101413123220
11665742433
12335303784
131969c4ab2
14d596a84c
15840d829a
hex543a8c94

1413123220 has 96 divisors (see below), whose sum is σ = 3275790336. Its totient is φ = 510259200.

The previous prime is 1413123211. The next prime is 1413123247. The reversal of 1413123220 is 223213141.

It is a happy number.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 583452 + ... + 585868.

It is an arithmetic number, because the mean of its divisors is an integer number (34122816).

Almost surely, 21413123220 is an apocalyptic number.

1413123220 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 1413123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637895168).

1413123220 is an abundant number, since it is smaller than the sum of its proper divisors (1862667116).

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

1413123220 is a wasteful number, since it uses less digits than its factorization.

1413123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2521 (or 2519 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

The square root of 1413123220 is about 37591.5312271261. The cubic root of 1413123220 is about 1122.1735057040.

Adding to 1413123220 its reverse (223213141), we get a palindrome (1636336361).

The spelling of 1413123220 in words is "one billion, four hundred thirteen million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 23 31 41 46 62 82 92 115 124 155 164 205 230 310 410 460 620 713 820 943 1271 1426 1886 2417 2542 2852 3565 3772 4715 4834 5084 6355 7130 9430 9668 12085 12710 14260 18860 24170 25420 29233 48340 55591 58466 74927 99097 111182 116932 146165 149854 198194 222364 277955 292330 299708 374635 396388 495485 555910 584660 749270 990970 1111820 1498540 1723321 1981940 2279231 3072007 3446642 4558462 6144014 6893284 8616605 9116924 11396155 12288028 15360035 17233210 22792310 30720070 34466420 45584620 61440140 70656161 141312322 282624644 353280805 706561610 1413123220