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242570640 = 24351377747
BaseRepresentation
bin11100111010101…
…01010110010000
3121220102212100210
432131111112100
5444044230030
640023044120
76003550014
oct1635252620
9556385323
10242570640
11114a19a04
12692a0640
133b340c30
1424304544
1516467bb0
hexe755590

242570640 has 80 divisors (see below), whose sum is σ = 809823168. Its totient is φ = 59708928.

The previous prime is 242570633. The next prime is 242570641. The reversal of 242570640 is 46075242.

242570640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 242570598 and 242570607.

It is not an unprimeable number, because it can be changed into a prime (242570641) 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, 35754 + ... + 41993.

Almost surely, 2242570640 is an apocalyptic number.

242570640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242570640 is an abundant number, since it is smaller than the sum of its proper divisors (567252528).

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

242570640 is a wasteful number, since it uses less digits than its factorization.

242570640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77776 (or 77770 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 30.

The square root of 242570640 is about 15574.6794509550. The cubic root of 242570640 is about 623.6573974011.

The spelling of 242570640 in words is "two hundred forty-two million, five hundred seventy thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 77747 155494 233241 310988 388735 466482 621976 777470 932964 1010711 1166205 1243952 1554940 1865928 2021422 2332410 3032133 3109880 3731856 4042844 4664820 5053555 6064266 6219760 8085688 9329640 10107110 12128532 15160665 16171376 18659280 20214220 24257064 30321330 40428440 48514128 60642660 80856880 121285320 242570640