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247984380 = 223257972029
BaseRepresentation
bin11101100011111…
…11000011111100
3122021121220121200
432301333003330
51001441000010
640335055500
76100555350
oct1661770374
9567556550
10247984380
11117a87376
126b071590
133c4b8127
1424d13460
1516b86cc0
hexec7f0fc

247984380 has 144 divisors (see below), whose sum is σ = 868969920. Its totient is φ = 56070144.

The previous prime is 247984379. The next prime is 247984381. The reversal of 247984380 is 83489742.

It is an interprime number because it is at equal distance from previous prime (247984379) and next prime (247984381).

It is a super-2 number, since 2×2479843802 = 122992505447968800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247984381) 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, 121206 + ... + 123234.

Almost surely, 2247984380 is an apocalyptic number.

247984380 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 247984380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434484960).

247984380 is an abundant number, since it is smaller than the sum of its proper divisors (620985540).

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

247984380 is a wasteful number, since it uses less digits than its factorization.

247984380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The square root of 247984380 is about 15747.5198047185. The cubic root of 247984380 is about 628.2629397804.

The spelling of 247984380 in words is "two hundred forty-seven million, nine hundred eighty-four thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 97 105 126 140 180 194 210 252 291 315 388 420 485 582 630 679 873 970 1164 1260 1358 1455 1746 1940 2029 2037 2716 2910 3395 3492 4058 4074 4365 5820 6087 6111 6790 8116 8148 8730 10145 10185 12174 12222 13580 14203 17460 18261 20290 20370 24348 24444 28406 30435 30555 36522 40580 40740 42609 56812 60870 61110 71015 73044 85218 91305 121740 122220 127827 142030 170436 182610 196813 213045 255654 284060 365220 393626 426090 511308 590439 639135 787252 852180 984065 1180878 1278270 1377691 1771317 1968130 2361756 2556540 2755382 2952195 3542634 3936260 4133073 5510764 5904390 6888455 7085268 8266146 8856585 11808780 12399219 13776910 16532292 17713170 20665365 24798438 27553820 35426340 41330730 49596876 61996095 82661460 123992190 247984380