[go: up one dir, main page]

Search a number
-
+
117269460 = 223257118461
BaseRepresentation
bin1101111110101…
…10001111010100
322011122220110100
412333112033110
5220010110320
615345254100
72622526320
oct677261724
9264586410
10117269460
1160217310
1233334330
131b3ac119
1411808980
15a466790
hex6fd63d4

117269460 has 144 divisors (see below), whose sum is σ = 443544192. Its totient is φ = 24364800.

The previous prime is 117269437. The next prime is 117269461. The reversal of 117269460 is 64962711.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117269461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9630 + ... + 18090.

It is an arithmetic number, because the mean of its divisors is an integer number (3080168).

Almost surely, 2117269460 is an apocalyptic number.

117269460 is a gapful number since it is divisible by the number (10) 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 117269460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221772096).

117269460 is an abundant number, since it is smaller than the sum of its proper divisors (326274732).

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

117269460 is a wasteful number, since it uses less digits than its factorization.

117269460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8494 (or 8489 counting only the distinct ones).

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

The square root of 117269460 is about 10829.1024558825. The cubic root of 117269460 is about 489.4725130227.

The spelling of 117269460 in words is "one hundred seventeen million, two hundred sixty-nine thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 11 12 14 15 18 20 21 22 28 30 33 35 36 42 44 45 55 60 63 66 70 77 84 90 99 105 110 126 132 140 154 165 180 198 210 220 231 252 308 315 330 385 396 420 462 495 630 660 693 770 924 990 1155 1260 1386 1540 1980 2310 2772 3465 4620 6930 8461 13860 16922 25383 33844 42305 50766 59227 76149 84610 93071 101532 118454 126915 152298 169220 177681 186142 236908 253830 279213 296135 304596 355362 372284 380745 465355 507660 533043 558426 592270 651497 710724 761490 837639 888405 930710 1066086 1116852 1184540 1302994 1396065 1522980 1675278 1776810 1861420 1954491 2132172 2605988 2665215 2792130 3257485 3350556 3553620 3908982 4188195 5330430 5584260 5863473 6514970 7817964 8376390 9772455 10660860 11726946 13029940 16752780 19544910 23453892 29317365 39089820 58634730 117269460