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1416421020 = 223577942689
BaseRepresentation
bin101010001101100…
…1101111010011100
310122201020122100210
41110123031322130
510400100433040
6352314452420
750046244230
oct12433157234
93581218323
101416421020
11667595093
12336434110
131975aab61
14d61885c0
158453a480
hex546cde9c

1416421020 has 96 divisors (see below), whose sum is σ = 4590028800. Its totient is φ = 319647744.

The previous prime is 1416421007. The next prime is 1416421033. The reversal of 1416421020 is 201246141.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1416421007) and next prime (1416421033).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11836 + ... + 54524.

It is an arithmetic number, because the mean of its divisors is an integer number (47812800).

Almost surely, 21416421020 is an apocalyptic number.

1416421020 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 1416421020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2295014400).

1416421020 is an abundant number, since it is smaller than the sum of its proper divisors (3173607780).

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

1416421020 is a wasteful number, since it uses less digits than its factorization.

1416421020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42787 (or 42785 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 1416421020 is about 37635.3692688141. The cubic root of 1416421020 is about 1123.0457647985.

Adding to 1416421020 its reverse (201246141), we get a palindrome (1617667161).

The spelling of 1416421020 in words is "one billion, four hundred sixteen million, four hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 79 84 105 140 158 210 237 316 395 420 474 553 790 948 1106 1185 1580 1659 2212 2370 2765 3318 4740 5530 6636 8295 11060 16590 33180 42689 85378 128067 170756 213445 256134 298823 426890 512268 597646 640335 853780 896469 1195292 1280670 1494115 1792938 2561340 2988230 3372431 3585876 4482345 5976460 6744862 8964690 10117293 13489724 16862155 17929380 20234586 23607017 33724310 40469172 47214034 50586465 67448620 70821051 94428068 101172930 118035085 141642102 202345860 236070170 283284204 354105255 472140340 708210510 1416421020