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4130830224 = 24345475827
BaseRepresentation
bin1111011000110111…
…0111011110010000
3101122212212220210000
43312031313132100
531424443031344
61521522010000
7204236322543
oct36615673620
911585786700
104130830224
11182a822984
129734a6900
1350aa6b051
142b288c85a
151929b9a69
hexf6377790

4130830224 has 100 divisors (see below), whose sum is σ = 11979733744. Its totient is φ = 1374190272.

The previous prime is 4130830213. The next prime is 4130830279. The reversal of 4130830224 is 4220380314.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 19 ways as a sum of consecutive naturals, for example, 705999 + ... + 711825.

Almost surely, 24130830224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4130830224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5989866872).

4130830224 is an abundant number, since it is smaller than the sum of its proper divisors (7848903520).

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

4130830224 is a wasteful number, since it uses less digits than its factorization.

4130830224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6379 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 4130830224 is about 64271.5350991401. The cubic root of 4130830224 is about 1604.5223908615.

The spelling of 4130830224 in words is "four billion, one hundred thirty million, eight hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 547 648 1094 1296 1641 2188 3282 4376 4923 5827 6564 8752 9846 11654 13128 14769 17481 19692 23308 26256 29538 34962 39384 44307 46616 52443 59076 69924 78768 88614 93232 104886 118152 139848 157329 177228 209772 236304 279696 314658 354456 419544 471987 629316 708912 839088 943974 1258632 1887948 2517264 3187369 3775896 6374738 7551792 9562107 12749476 19124214 25498952 28686321 38248428 50997904 57372642 76496856 86058963 114745284 152993712 172117926 229490568 258176889 344235852 458981136 516353778 688471704 1032707556 1376943408 2065415112 4130830224