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247489120 = 25531411217
BaseRepresentation
bin11101100000001…
…10001001100000
3122020200202020201
432300012021200
51001324122440
640320314544
76063423424
oct1660061140
9566622221
10247489120
1111777926a
126aa72a54
133c373888
1424c24b84
1516ada19a
hexec06260

247489120 has 96 divisors (see below), whose sum is σ = 618782976. Its totient is φ = 93388800.

The previous prime is 247489063. The next prime is 247489127. The reversal of 247489120 is 21984742.

It is a super-2 number, since 2×2474891202 = 122501729036748800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 247489120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (247489127) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202752 + ... + 203968.

It is an arithmetic number, because the mean of its divisors is an integer number (6445656).

Almost surely, 2247489120 is an apocalyptic number.

247489120 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 247489120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309391488).

247489120 is an abundant number, since it is smaller than the sum of its proper divisors (371293856).

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

247489120 is a wasteful number, since it uses less digits than its factorization.

247489120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1304 (or 1296 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The square root of 247489120 is about 15731.7869296530. The cubic root of 247489120 is about 627.8444176233.

The spelling of 247489120 in words is "two hundred forty-seven million, four hundred eighty-nine thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 80 82 124 155 160 164 205 248 310 328 410 496 620 656 820 992 1217 1240 1271 1312 1640 2434 2480 2542 3280 4868 4960 5084 6085 6355 6560 9736 10168 12170 12710 19472 20336 24340 25420 37727 38944 40672 48680 49897 50840 75454 97360 99794 101680 150908 188635 194720 199588 203360 249485 301816 377270 399176 498970 603632 754540 798352 997940 1207264 1509080 1546807 1596704 1995880 3018160 3093614 3991760 6036320 6187228 7734035 7983520 12374456 15468070 24748912 30936140 49497824 61872280 123744560 247489120