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4020663720 = 2335196128909
BaseRepresentation
bin1110111110100110…
…0111010110101000
3101101012120212202010
43233221213112220
531213242214340
61502544435520
7201431035443
oct35751472650
911335525663
104020663720
111783618187
12942618ba0
134c0ca7c78
142a1db265a
15187ea7b80
hexefa675a8

4020663720 has 128 divisors (see below), whose sum is σ = 12905424000. Its totient is φ = 999060480.

The previous prime is 4020663671. The next prime is 4020663749. The reversal of 4020663720 is 273660204.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 124626 + ... + 153534.

It is an arithmetic number, because the mean of its divisors is an integer number (100823625).

Almost surely, 24020663720 is an apocalyptic number.

4020663720 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 4020663720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6452712000).

4020663720 is an abundant number, since it is smaller than the sum of its proper divisors (8884760280).

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

4020663720 is a wasteful number, since it uses less digits than its factorization.

4020663720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29003 (or 28999 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 4020663720 is about 63408.7038189553. The cubic root of 4020663720 is about 1590.1298260354.

The spelling of 4020663720 in words is "four billion, twenty million, six hundred sixty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 61 76 95 114 120 122 152 183 190 228 244 285 305 366 380 456 488 570 610 732 760 915 1140 1159 1220 1464 1830 2280 2318 2440 3477 3660 4636 5795 6954 7320 9272 11590 13908 17385 23180 27816 28909 34770 46360 57818 69540 86727 115636 139080 144545 173454 231272 289090 346908 433635 549271 578180 693816 867270 1098542 1156360 1647813 1734540 1763449 2197084 2746355 3295626 3469080 3526898 4394168 5290347 5492710 6591252 7053796 8239065 8817245 10580694 10985420 13182504 14107592 16478130 17634490 21161388 21970840 26451735 32956260 33505531 35268980 42322776 52903470 65912520 67011062 70537960 100516593 105806940 134022124 167527655 201033186 211613880 268044248 335055310 402066372 502582965 670110620 804132744 1005165930 1340221240 2010331860 4020663720