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242290960 = 2454317027
BaseRepresentation
bin11100111000100…
…01000100010000
3121212220122201021
432130101010100
5444011302320
640013045224
76001303432
oct1634210420
9555818637
10242290960
1111484886a
1269186814
133b273842
1424270652
151640edaa
hexe711110

242290960 has 40 divisors (see below), whose sum is σ = 564713856. Its totient is φ = 96677760.

The previous prime is 242290957. The next prime is 242290967. The reversal of 242290960 is 69092242.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is a nialpdrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (242290967) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30967 + ... + 37993.

Almost surely, 2242290960 is an apocalyptic number.

242290960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242290960 is an abundant number, since it is smaller than the sum of its proper divisors (322422896).

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

242290960 is a wasteful number, since it uses less digits than its factorization.

242290960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7471 (or 7465 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 242290960 is about 15565.6981854333. The cubic root of 242290960 is about 623.4176162799.

The spelling of 242290960 in words is "two hundred forty-two million, two hundred ninety thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 431 862 1724 2155 3448 4310 6896 7027 8620 14054 17240 28108 34480 35135 56216 70270 112432 140540 281080 562160 3028637 6057274 12114548 15143185 24229096 30286370 48458192 60572740 121145480 242290960