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8020740 = 22357132113
BaseRepresentation
bin11110100110001100000100
3120002111101110
4132212030010
54023130430
6443525020
7125114040
oct36461404
916074343
108020740
114589112
122829770
13187aa00
1410cb020
15a867b0
hex7a6304

8020740 has 144 divisors (see below), whose sum is σ = 28038528. Its totient is φ = 1677312.

The previous prime is 8020709. The next prime is 8020751. The reversal of 8020740 is 470208.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70924 + ... + 71036.

It is an arithmetic number, because the mean of its divisors is an integer number (194712).

Almost surely, 28020740 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 8020740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14019264).

8020740 is an abundant number, since it is smaller than the sum of its proper divisors (20017788).

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

8020740 is a wasteful number, since it uses less digits than its factorization.

8020740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 143 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 8020740 is about 2832.0911002297. The cubic root of 8020740 is about 200.1726841913.

Adding to 8020740 its reverse (470208), we get a palindrome (8490948).

The spelling of 8020740 in words is "eight million, twenty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 113 130 140 156 169 182 195 210 226 260 273 338 339 364 390 420 452 455 507 546 565 676 678 780 791 845 910 1014 1092 1130 1183 1356 1365 1469 1582 1690 1695 1820 2028 2260 2366 2373 2535 2730 2938 3164 3380 3390 3549 3955 4407 4732 4746 5070 5460 5876 5915 6780 7098 7345 7910 8814 9492 10140 10283 11830 11865 14196 14690 15820 17628 17745 19097 20566 22035 23660 23730 29380 30849 35490 38194 41132 44070 47460 51415 57291 61698 70980 76388 88140 95485 102830 114582 123396 133679 154245 190970 205660 229164 267358 286455 308490 381940 401037 534716 572910 616980 668395 802074 1145820 1336790 1604148 2005185 2673580 4010370 8020740