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242006960 = 24513232699
BaseRepresentation
bin11100110110010…
…11101110110000
3121212101020010202
432123023232300
5443423210320
640003014332
75666011436
oct1633135660
9555336122
10242006960
11114674458
126906a3a8
133b1a44b0
14241d8d56
15163a5b75
hexe6cbbb0

242006960 has 40 divisors (see below), whose sum is σ = 605950800. Its totient is φ = 89356032.

The previous prime is 242006953. The next prime is 242007011. The reversal of 242006960 is 69600242.

242006960 is digitally balanced in base 3, 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 (40).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 115310 + ... + 117389.

It is an arithmetic number, because the mean of its divisors is an integer number (15148770).

Almost surely, 2242006960 is an apocalyptic number.

242006960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242006960 is an abundant number, since it is smaller than the sum of its proper divisors (363943840).

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

242006960 is a wasteful number, since it uses less digits than its factorization.

242006960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232725 (or 232719 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 29.

The square root of 242006960 is about 15556.5728873682. The cubic root of 242006960 is about 623.1739425520.

The spelling of 242006960 in words is "two hundred forty-two million, six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 232699 465398 930796 1163495 1861592 2326990 3025087 3723184 4653980 6050174 9307960 12100348 15125435 18615920 24200696 30250870 48401392 60501740 121003480 242006960