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242476020 = 2232512710607
BaseRepresentation
bin11100111001111…
…10001111110100
3121220021001120100
432130332033310
5444033213040
640021034100
76003004113
oct1634761764
9556231510
10242476020
11114964906
1269255930
133b309b47
14242bbc7a
1516449b30
hexe73e3f4

242476020 has 72 divisors (see below), whose sum is σ = 741371904. Its totient is φ = 64145088.

The previous prime is 242476001. The next prime is 242476033. The reversal of 242476020 is 20674242.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17557 + ... + 28163.

It is an arithmetic number, because the mean of its divisors is an integer number (10296832).

Almost surely, 2242476020 is an apocalyptic number.

242476020 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 242476020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370685952).

242476020 is an abundant number, since it is smaller than the sum of its proper divisors (498895884).

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

242476020 is a wasteful number, since it uses less digits than its factorization.

242476020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10749 (or 10744 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 242476020 is about 15571.6415319644. The cubic root of 242476020 is about 623.5762964382.

The spelling of 242476020 in words is "two hundred forty-two million, four hundred seventy-six thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 10607 11430 21214 22860 31821 42428 53035 63642 95463 106070 127284 159105 190926 212140 318210 381852 477315 636420 954630 1347089 1909260 2694178 4041267 5388356 6735445 8082534 12123801 13470890 16165068 20206335 24247602 26941780 40412670 48495204 60619005 80825340 121238010 242476020