Search a number
-
+
121454580 = 223513473313
BaseRepresentation
bin1110011110100…
…11111111110100
322110112112100210
413033103333310
5222043021310
620015105420
73003226662
oct717237764
9273475323
10121454580
1162615695
1234812270
131c216020
14121b7c32
15a9e1820
hex73d3ff4

121454580 has 96 divisors (see below), whose sum is σ = 374137344. Its totient is φ = 29251584.

The previous prime is 121454569. The next prime is 121454603. The reversal of 121454580 is 85454121.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 35004 + ... + 38316.

It is an arithmetic number, because the mean of its divisors is an integer number (3897264).

Almost surely, 2121454580 is an apocalyptic number.

121454580 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 121454580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187068672).

121454580 is an abundant number, since it is smaller than the sum of its proper divisors (252682764).

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

121454580 is a wasteful number, since it uses less digits than its factorization.

121454580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3385 (or 3383 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 30.

The square root of 121454580 is about 11020.6433569007. The cubic root of 121454580 is about 495.2273621377.

The spelling of 121454580 in words is "one hundred twenty-one million, four hundred fifty-four thousand, five hundred eighty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 47 52 60 65 78 94 130 141 156 188 195 235 260 282 390 470 564 611 705 780 940 1222 1410 1833 2444 2820 3055 3313 3666 6110 6626 7332 9165 9939 12220 13252 16565 18330 19878 33130 36660 39756 43069 49695 66260 86138 99390 129207 155711 172276 198780 215345 258414 311422 430690 467133 516828 622844 646035 778555 861380 934266 1292070 1557110 1868532 2024243 2335665 2584140 3114220 4048486 4671330 6072729 8096972 9342660 10121215 12145458 20242430 24290916 30363645 40484860 60727290 121454580