Search a number
-
+
115446480 = 24353159263
BaseRepresentation
bin1101110000110…
…01001011010000
322001020021210120
412320121023100
5214023241410
615242230240
72601164442
oct670311320
9261207716
10115446480
115a191716
12327b5380
131abc1436
1411492492
15a206570
hex6e192d0

115446480 has 160 divisors (see below), whose sum is σ = 377118720. Its totient is φ = 29176320.

The previous prime is 115446479. The next prime is 115446481. The reversal of 115446480 is 84644511.

It is an interprime number because it is at equal distance from previous prime (115446479) and next prime (115446481).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115446481) 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, 438829 + ... + 439091.

It is an arithmetic number, because the mean of its divisors is an integer number (2356992).

Almost surely, 2115446480 is an apocalyptic number.

115446480 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 115446480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

115446480 is an abundant number, since it is smaller than the sum of its proper divisors (261672240).

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

115446480 is a wasteful number, since it uses less digits than its factorization.

115446480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 369 (or 363 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

The square root of 115446480 is about 10744.6023658393. The cubic root of 115446480 is about 486.9229358583.

The spelling of 115446480 in words is "one hundred fifteen million, four hundred forty-six thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 59 60 62 80 93 118 120 124 155 177 186 236 240 248 263 295 310 354 372 465 472 496 526 590 620 708 744 789 885 930 944 1052 1180 1240 1315 1416 1488 1578 1770 1829 1860 2104 2360 2480 2630 2832 3156 3540 3658 3720 3945 4208 4720 5260 5487 6312 7080 7316 7440 7890 8153 9145 10520 10974 12624 14160 14632 15517 15780 16306 18290 21040 21948 24459 27435 29264 31034 31560 32612 36580 40765 43896 46551 48918 54870 62068 63120 65224 73160 77585 81530 87792 93102 97836 109740 122295 124136 130448 146320 155170 163060 186204 195672 219480 232755 244590 248272 310340 326120 372408 391344 438960 465510 481027 489180 620680 652240 744816 931020 962054 978360 1241360 1443081 1862040 1924108 1956720 2405135 2886162 3724080 3848216 4810270 5772324 7215405 7696432 9620540 11544648 14430810 19241080 23089296 28861620 38482160 57723240 115446480