Search a number
-
+
97478340 = 223517227421
BaseRepresentation
bin1011100111101…
…10011011000100
320210102102010220
411303312123010
5144423301330
613401144340
72262360261
oct563663304
9223372126
1097478340
1150029a13
122878b0b0
131726cabb
14cd36268
158857710
hex5cf66c4

97478340 has 96 divisors (see below), whose sum is σ = 290957184. Its totient is φ = 24299520.

The previous prime is 97478327. The next prime is 97478351. The reversal of 97478340 is 4387479.

It is a junction number, because it is equal to n+sod(n) for n = 97478292 and 97478301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 231330 + ... + 231750.

It is an arithmetic number, because the mean of its divisors is an integer number (3030804).

Almost surely, 297478340 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 97478340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145478592).

97478340 is an abundant number, since it is smaller than the sum of its proper divisors (193478844).

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

97478340 is a wasteful number, since it uses less digits than its factorization.

97478340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 677 (or 675 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 97478340 is about 9873.1119714100. Note that the first 3 decimals coincide. The cubic root of 97478340 is about 460.2241188915.

The spelling of 97478340 in words is "ninety-seven million, four hundred seventy-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 227 255 340 421 454 510 681 842 908 1020 1135 1263 1362 1684 2105 2270 2526 2724 3405 3859 4210 4540 5052 6315 6810 7157 7718 8420 11577 12630 13620 14314 15436 19295 21471 23154 25260 28628 35785 38590 42942 46308 57885 71570 77180 85884 95567 107355 115770 143140 191134 214710 231540 286701 382268 429420 477835 573402 955670 1146804 1433505 1624639 1911340 2867010 3249278 4873917 5734020 6498556 8123195 9747834 16246390 19495668 24369585 32492780 48739170 97478340