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121426380 = 223253147463
BaseRepresentation
bin1110011110011…
…01000111001100
322110111002200100
413033031013030
5222041121010
620014331100
73003051525
oct717150714
9273432610
10121426380
11625a6489
12347b9a90
131c20623a
14121ab84c
15a9d82c0
hex73cd1cc

121426380 has 144 divisors (see below), whose sum is σ = 389136384. Its totient is φ = 30602880.

The previous prime is 121426373. The next prime is 121426381. The reversal of 121426380 is 83624121.

121426380 is a `hidden beast` number, since 1 + 21 + 4 + 2 + 638 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (121426381) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262029 + ... + 262491.

It is an arithmetic number, because the mean of its divisors is an integer number (2702336).

Almost surely, 2121426380 is an apocalyptic number.

121426380 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 121426380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194568192).

121426380 is an abundant number, since it is smaller than the sum of its proper divisors (267710004).

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

121426380 is a wasteful number, since it uses less digits than its factorization.

121426380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556 (or 551 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 121426380 is about 11019.3638654870. The cubic root of 121426380 is about 495.1890309563.

The spelling of 121426380 in words is "one hundred twenty-one million, four hundred twenty-six thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 31 36 45 47 60 62 90 93 94 124 141 155 180 186 188 235 279 282 310 372 423 463 465 470 558 564 620 705 846 926 930 940 1116 1389 1395 1410 1457 1692 1852 1860 2115 2315 2778 2790 2820 2914 4167 4230 4371 4630 5556 5580 5828 6945 7285 8334 8460 8742 9260 13113 13890 14353 14570 16668 17484 20835 21761 21855 26226 27780 28706 29140 41670 43059 43522 43710 52452 57412 65283 65565 71765 83340 86118 87044 87420 108805 129177 130566 131130 143530 172236 195849 215295 217610 258354 261132 262260 287060 326415 391698 430590 435220 516708 645885 652830 674591 783396 861180 979245 1291770 1305660 1349182 1958490 2023773 2583540 2698364 3372955 3916980 4047546 6071319 6745910 8095092 10118865 12142638 13491820 20237730 24285276 30356595 40475460 60713190 121426380