Search a number
-
+
269918740 = 225713433449
BaseRepresentation
bin10000000101101…
…010001000010100
3200210220021220101
4100011222020110
51023044344430
642441143444
76455162050
oct2005521024
9623807811
10269918740
111293a8a43
127648ab84
1343bc7b40
1427bc2c60
1518a6adca
hex1016a214

269918740 has 96 divisors (see below), whose sum is σ = 714067200. Its totient is φ = 83414016.

The previous prime is 269918729. The next prime is 269918749. The reversal of 269918740 is 47819962.

269918740 = 42352 + 42362 + ... + 42492.

It is a super-2 number, since 2×2699187402 = 145712252406375200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (269918749) 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, 76536 + ... + 79984.

It is an arithmetic number, because the mean of its divisors is an integer number (7438200).

Almost surely, 2269918740 is an apocalyptic number.

269918740 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 269918740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357033600).

269918740 is an abundant number, since it is smaller than the sum of its proper divisors (444148460).

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

269918740 is a wasteful number, since it uses less digits than its factorization.

269918740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3521 (or 3519 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 46.

The square root of 269918740 is about 16429.2038760252. The cubic root of 269918740 is about 646.2655599988.

The spelling of 269918740 in words is "two hundred sixty-nine million, nine hundred eighteen thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 13 14 20 26 28 35 43 52 65 70 86 91 130 140 172 182 215 260 301 364 430 455 559 602 860 910 1118 1204 1505 1820 2236 2795 3010 3449 3913 5590 6020 6898 7826 11180 13796 15652 17245 19565 24143 34490 39130 44837 48286 68980 78260 89674 96572 120715 148307 179348 224185 241430 296614 313859 448370 482860 593228 627718 741535 896740 1038149 1255436 1483070 1569295 1927991 2076298 2966140 3138590 3855982 4152596 5190745 6277180 7711964 9639955 10381490 13495937 19279910 20762980 26991874 38559820 53983748 67479685 134959370 269918740