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4012003320 = 23351310512447
BaseRepresentation
bin1110111100100010…
…0100111111111000
3101100121021212220120
43233020210333320
531204033101240
61502035053240
7201264315453
oct35710447770
911317255816
104012003320
111779742526
1293b741220
134bc265080
142a0b9a49a
15187346ad0
hexef224ff8

4012003320 has 128 divisors (see below), whose sum is σ = 12979491840. Its totient is φ = 986227200.

The previous prime is 4012003283. The next prime is 4012003337. The reversal of 4012003320 is 233002104.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 4012003320.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 1638337 + ... + 1640783.

It is an arithmetic number, because the mean of its divisors is an integer number (101402280).

Almost surely, 24012003320 is an apocalyptic number.

4012003320 is a gapful number since it is divisible by the number (40) 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 4012003320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6489745920).

4012003320 is an abundant number, since it is smaller than the sum of its proper divisors (8967488520).

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

4012003320 is a wasteful number, since it uses less digits than its factorization.

4012003320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3525 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 4012003320 is about 63340.3766960696. The cubic root of 4012003320 is about 1588.9873065642.

Adding to 4012003320 its reverse (233002104), we get a palindrome (4245005424).

The spelling of 4012003320 in words is "four billion, twelve million, three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1051 1560 2102 2447 3153 4204 4894 5255 6306 7341 8408 9788 10510 12235 12612 13663 14682 15765 19576 21020 24470 25224 27326 29364 31530 31811 36705 40989 42040 48940 54652 58728 63060 63622 68315 73410 81978 95433 97880 109304 126120 127244 136630 146820 159055 163956 190866 204945 254488 273260 293640 318110 327912 381732 409890 477165 546520 636220 763464 819780 954330 1272440 1639560 1908660 2571797 3817320 5143594 7715391 10287188 12858985 15430782 20574376 25717970 30861564 33433361 38576955 51435940 61723128 66866722 77153910 100300083 102871880 133733444 154307820 167166805 200600166 267466888 308615640 334333610 401200332 501500415 668667220 802400664 1003000830 1337334440 2006001660 4012003320