Search a number
-
+
4020996840 = 233572683843
BaseRepresentation
bin1110111110101011…
…1000101011101000
3101101020012210200220
43233222320223220
531213333344330
61502555530040
7201433623600
oct35752705350
911336183626
104020996840
111783825493
12942759920
134c1093793
142a205bc00
15188021710
hexefab8ae8

4020996840 has 96 divisors (see below), whose sum is σ = 14032478880. Its totient is φ = 919083648.

The previous prime is 4020996821. The next prime is 4020996857. The reversal of 4020996840 is 486990204.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 4020996792 and 4020996801.

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 23 ways as a sum of consecutive naturals, for example, 336042 + ... + 347801.

It is an arithmetic number, because the mean of its divisors is an integer number (146171655).

Almost surely, 24020996840 is an apocalyptic number.

4020996840 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4020996840 is an abundant number, since it is smaller than the sum of its proper divisors (10011482040).

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

4020996840 is a wasteful number, since it uses less digits than its factorization.

4020996840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683871 (or 683860 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The square root of 4020996840 is about 63411.3305332730. The cubic root of 4020996840 is about 1590.1737399641.

The spelling of 4020996840 in words is "four billion, twenty million, nine hundred ninety-six thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 168 196 210 245 280 294 392 420 490 588 735 840 980 1176 1470 1960 2940 5880 683843 1367686 2051529 2735372 3419215 4103058 4786901 5470744 6838430 8206116 9573802 10257645 13676860 14360703 16412232 19147604 20515290 23934505 27353720 28721406 33508307 38295208 41030580 47869010 57442812 67016614 71803515 82061160 95738020 100524921 114885624 134033228 143607030 167541535 191476040 201049842 268066456 287214060 335083070 402099684 502624605 574428120 670166140 804199368 1005249210 1340332280 2010498420 4020996840