Search a number
-
+
707828280 = 2335192831097
BaseRepresentation
bin101010001100001…
…001101000111000
31211022220101212020
4222030021220320
52422201001110
6154123114440
723353304205
oct5214115070
91738811766
10707828280
11333606955
12179072a20
13b3850603
146a014cac
154221bd70
hex2a309a38

707828280 has 128 divisors (see below), whose sum is σ = 2245190400. Its totient is φ = 178025472.

The previous prime is 707828263. The next prime is 707828287. The reversal of 707828280 is 82828707.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (707828287) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 644692 + ... + 645788.

It is an arithmetic number, because the mean of its divisors is an integer number (17540550).

Almost surely, 2707828280 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 707828280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122595200).

707828280 is an abundant number, since it is smaller than the sum of its proper divisors (1537362120).

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

707828280 is a wasteful number, since it uses less digits than its factorization.

707828280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1413 (or 1409 counting only the distinct ones).

The product of its (nonzero) digits is 100352, while the sum is 42.

The square root of 707828280 is about 26605.0423792183. The cubic root of 707828280 is about 891.2016256536.

The spelling of 707828280 in words is "seven hundred seven million, eight hundred twenty-eight thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 30 38 40 57 60 76 95 114 120 152 190 228 283 285 380 456 566 570 760 849 1097 1132 1140 1415 1698 2194 2264 2280 2830 3291 3396 4245 4388 5377 5485 5660 6582 6792 8490 8776 10754 10970 11320 13164 16131 16455 16980 20843 21508 21940 26328 26885 32262 32910 33960 41686 43016 43880 53770 62529 64524 65820 80655 83372 104215 107540 125058 129048 131640 161310 166744 208430 215080 250116 310451 312645 322620 416860 500232 620902 625290 645240 833720 931353 1241804 1250580 1552255 1862706 2483608 2501160 3104510 3725412 4656765 5898569 6209020 7450824 9313530 11797138 12418040 17695707 18627060 23594276 29492845 35391414 37254120 47188552 58985690 70782828 88478535 117971380 141565656 176957070 235942760 353914140 707828280