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242570040 = 233531197331
BaseRepresentation
bin11100111010101…
…01001100111000
3121220102211112120
432131111030320
5444044220130
640023041240
76003545166
oct1635251470
9556384476
10242570040
11114a19509
12692a0220
133b34088b
1424304236
1516467910
hexe755338

242570040 has 128 divisors (see below), whose sum is σ = 757278720. Its totient is φ = 62092800.

The previous prime is 242569993. The next prime is 242570057. The reversal of 242570040 is 40075242.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 732675 + ... + 733005.

It is an arithmetic number, because the mean of its divisors is an integer number (5916240).

Almost surely, 2242570040 is an apocalyptic number.

242570040 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 242570040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378639360).

242570040 is an abundant number, since it is smaller than the sum of its proper divisors (514708680).

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

242570040 is a wasteful number, since it uses less digits than its factorization.

242570040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 573 (or 569 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 24.

The square root of 242570040 is about 15574.6601889094. The cubic root of 242570040 is about 623.6568831938.

The spelling of 242570040 in words is "two hundred forty-two million, five hundred seventy thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 197 248 310 331 372 394 465 591 620 662 744 788 930 985 993 1182 1240 1324 1576 1655 1860 1970 1986 2364 2648 2955 3310 3720 3940 3972 4728 4965 5910 6107 6620 7880 7944 9930 10261 11820 12214 13240 18321 19860 20522 23640 24428 30535 30783 36642 39720 41044 48856 51305 61070 61566 65207 73284 82088 91605 102610 122140 123132 130414 146568 153915 183210 195621 205220 244280 246264 260828 307830 326035 366420 391242 410440 521656 615660 652070 732840 782484 978105 1231320 1304140 1564968 1956210 2021417 2608280 3912420 4042834 6064251 7824840 8085668 10107085 12128502 16171336 20214170 24257004 30321255 40428340 48514008 60642510 80856680 121285020 242570040