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242915380 = 2251719311213
BaseRepresentation
bin11100111101010…
…01100000110100
3121221002101020221
432132221200310
5444141243010
640034304124
76006514051
oct1636514064
9557071227
10242915380
11115134a14
1269428044
133b431b16
1424394028
15164d4dda
hexe7a9834

242915380 has 96 divisors (see below), whose sum is σ = 587381760. Its totient is φ = 83773440.

The previous prime is 242915369. The next prime is 242915383. The reversal of 242915380 is 83519242.

242915380 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242915383) 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, 199654 + ... + 200866.

It is an arithmetic number, because the mean of its divisors is an integer number (6118560).

Almost surely, 2242915380 is an apocalyptic number.

242915380 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 242915380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293690880).

242915380 is an abundant number, since it is smaller than the sum of its proper divisors (344466380).

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

242915380 is a wasteful number, since it uses less digits than its factorization.

242915380 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 242915380 is about 15585.7428440225. The cubic root of 242915380 is about 623.9527036528.

The spelling of 242915380 in words is "two hundred forty-two million, nine hundred fifteen thousand, three hundred eighty".

Divisors: 1 2 4 5 10 17 19 20 31 34 38 62 68 76 85 95 124 155 170 190 310 323 340 380 527 589 620 646 1054 1178 1213 1292 1615 2108 2356 2426 2635 2945 3230 4852 5270 5890 6065 6460 10013 10540 11780 12130 20026 20621 23047 24260 37603 40052 41242 46094 50065 75206 82484 92188 100130 103105 115235 150412 188015 200260 206210 230470 376030 391799 412420 460940 639251 714457 752060 783598 1278502 1428914 1567196 1958995 2557004 2857828 3196255 3572285 3917990 6392510 7144570 7835980 12145769 12785020 14289140 24291538 48583076 60728845 121457690 242915380