Search a number
-
+
791230680 = 233451912853
BaseRepresentation
bin101111001010010…
…011100011011000
32001010211200110000
4233022103203120
53110023340210
6210302453000
725415230662
oct5712234330
92033750400
10791230680
113766a1359
121a0b94160
13c7c02546
1477125532
15496e3ac0
hex2f2938d8

791230680 has 160 divisors (see below), whose sum is σ = 2799601200. Its totient is φ = 199874304.

The previous prime is 791230663. The next prime is 791230691. The reversal of 791230680 is 86032197.

791230680 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 55134 + ... + 67986.

Almost surely, 2791230680 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 791230680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399800600).

791230680 is an abundant number, since it is smaller than the sum of its proper divisors (2008370520).

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

791230680 is a wasteful number, since it uses less digits than its factorization.

791230680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12895 (or 12882 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 791230680 is about 28128.8229401801. The cubic root of 791230680 is about 924.9133320309.

The spelling of 791230680 in words is "seven hundred ninety-one million, two hundred thirty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 27 30 36 38 40 45 54 57 60 72 76 81 90 95 108 114 120 135 152 162 171 180 190 216 228 270 285 324 342 360 380 405 456 513 540 570 648 684 760 810 855 1026 1080 1140 1368 1539 1620 1710 2052 2280 2565 3078 3240 3420 4104 5130 6156 6840 7695 10260 12312 12853 15390 20520 25706 30780 38559 51412 61560 64265 77118 102824 115677 128530 154236 192795 231354 244207 257060 308472 347031 385590 462708 488414 514120 578385 694062 732621 771180 925416 976828 1041093 1156770 1221035 1388124 1465242 1542360 1735155 1953656 2082186 2197863 2313540 2442070 2776248 2930484 3470310 3663105 4164372 4395726 4627080 4884140 5205465 5860968 6593589 6940620 7326210 8328744 8791452 9768280 10410930 10989315 13187178 13881240 14652420 17582904 19780767 20821860 21978630 26374356 29304840 32967945 39561534 41643720 43957260 52748712 65935890 79123068 87914520 98903835 131871780 158246136 197807670 263743560 395615340 791230680