Search a number
-
+
2674851240 = 2335238631123
BaseRepresentation
bin1001111101101110…
…1111110110101000
320220102012112002110
42133123233312220
520434230214430
61121231202320
7123166601055
oct23733576650
96812175073
102674851240
11115297a366
126279763a0
1333821c919
141b536802c
15109c687b0
hex9f6efda8

2674851240 has 128 divisors (see below), whose sum is σ = 8390615040. Its totient is φ = 680883456.

The previous prime is 2674851239. The next prime is 2674851253. The reversal of 2674851240 is 421584762.

It is a super-2 number, since 2×26748512402 = 14309658312259075200, which contains 22 as substring.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

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, 2381319 + ... + 2382441.

It is an arithmetic number, because the mean of its divisors is an integer number (65551680).

Almost surely, 22674851240 is an apocalyptic number.

2674851240 is a gapful number since it is divisible by the number (20) 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 2674851240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4195307520).

2674851240 is an abundant number, since it is smaller than the sum of its proper divisors (5715763800).

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

2674851240 is a wasteful number, since it uses less digits than its factorization.

2674851240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2023 (or 2019 counting only the distinct ones).

The product of its (nonzero) digits is 107520, while the sum is 39.

The square root of 2674851240 is about 51718.9640267475. The cubic root of 2674851240 is about 1388.1398162715.

The spelling of 2674851240 in words is "two billion, six hundred seventy-four million, eight hundred fifty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 863 920 1123 1380 1726 2246 2589 2760 3369 3452 4315 4492 5178 5615 6738 6904 8630 8984 10356 11230 12945 13476 16845 17260 19849 20712 22460 25829 25890 26952 33690 34520 39698 44920 51658 51780 59547 67380 77487 79396 99245 103316 103560 119094 129145 134760 154974 158792 198490 206632 238188 258290 297735 309948 387435 396980 476376 516580 595470 619896 774870 793960 969149 1033160 1190940 1549740 1938298 2381880 2907447 3099480 3876596 4845745 5814894 7753192 9691490 11629788 14537235 19382980 22290427 23259576 29074470 38765960 44580854 58148940 66871281 89161708 111452135 116297880 133742562 178323416 222904270 267485124 334356405 445808540 534970248 668712810 891617080 1337425620 2674851240