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242597520 = 243251130631
BaseRepresentation
bin11100111010110…
…11111010010000
3121220111020020100
432131123322100
5444101110040
640023412400
76004021254
oct1635337220
9556436210
10242597520
11114a38120
12692b4100
133b350239
1424310264
1516470b30
hexe75be90

242597520 has 120 divisors (see below), whose sum is σ = 888818112. Its totient is φ = 58809600.

The previous prime is 242597507. The next prime is 242597527. The reversal of 242597520 is 25795242.

It is a happy number.

242597520 is a `hidden beast` number, since 2 + 42 + 5 + 97 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (242597527) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7396 + ... + 23235.

Almost surely, 2242597520 is an apocalyptic number.

242597520 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242597520 is an abundant number, since it is smaller than the sum of its proper divisors (646220592).

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

242597520 is a wasteful number, since it uses less digits than its factorization.

242597520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30661 (or 30652 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 242597520 is about 15575.5423661586. The cubic root of 242597520 is about 623.6804330161.

The spelling of 242597520 in words is "two hundred forty-two million, five hundred ninety-seven thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 11 12 15 16 18 20 22 24 30 33 36 40 44 45 48 55 60 66 72 80 88 90 99 110 120 132 144 165 176 180 198 220 240 264 330 360 396 440 495 528 660 720 792 880 990 1320 1584 1980 2640 3960 7920 30631 61262 91893 122524 153155 183786 245048 275679 306310 336941 367572 459465 490096 551358 612620 673882 735144 918930 1010823 1102716 1225240 1347764 1378395 1470288 1684705 1837860 2021646 2205432 2450480 2695528 2756790 3032469 3369410 3675720 4043292 4410864 5054115 5391056 5513580 6064938 6738820 7351440 8086584 10108230 11027160 12129876 13477640 15162345 16173168 20216460 22054320 24259752 26955280 30324690 40432920 48519504 60649380 80865840 121298760 242597520