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242921640 = 233513155719
BaseRepresentation
bin11100111101010…
…11000010101000
3121221002200211210
432132223002220
5444141443030
640034353120
76006541233
oct1636530250
9557080753
10242921640
11115139695
126942b7a0
133b434920
142439641a
15164d6bb0
hexe7ab0a8

242921640 has 64 divisors (see below), whose sum is σ = 784828800. Its totient is φ = 59795712.

The previous prime is 242921633. The next prime is 242921647. The reversal of 242921640 is 46129242.

242921640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (242921633) and next prime (242921647).

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

It is a junction number, because it is equal to n+sod(n) for n = 242921598 and 242921607.

It is not an unprimeable number, because it can be changed into a prime (242921647) 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, 76300 + ... + 79419.

It is an arithmetic number, because the mean of its divisors is an integer number (12262950).

Almost surely, 2242921640 is an apocalyptic number.

242921640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242921640 is an abundant number, since it is smaller than the sum of its proper divisors (541907160).

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

242921640 is a wasteful number, since it uses less digits than its factorization.

242921640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155746 (or 155742 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The square root of 242921640 is about 15585.9436672920. The cubic root of 242921640 is about 623.9580634210.

The spelling of 242921640 in words is "two hundred forty-two million, nine hundred twenty-one thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 155719 311438 467157 622876 778595 934314 1245752 1557190 1868628 2024347 2335785 3114380 3737256 4048694 4671570 6073041 6228760 8097388 9343140 10121735 12146082 16194776 18686280 20243470 24292164 30365205 40486940 48584328 60730410 80973880 121460820 242921640