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242698680 = 2336572941
BaseRepresentation
bin11100111011101…
…00100110111000
3121220200101000000
432131310212320
5444112324210
640025513000
76004622220
oct1635644670
9556611000
10242698680
11114aa7124
1269342760
133b3872b3
1424339080
1516490ac0
hexe7749b8

242698680 has 448 divisors, whose sum is σ = 991569600. Its totient is φ = 52254720.

The previous prime is 242698679. The next prime is 242698693. The reversal of 242698680 is 86896242.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5919460 + ... + 5919500.

It is an arithmetic number, because the mean of its divisors is an integer number (2213325).

Almost surely, 2242698680 is an apocalyptic number.

242698680 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 242698680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (495784800).

242698680 is an abundant number, since it is smaller than the sum of its proper divisors (748870920).

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

242698680 is a wasteful number, since it uses less digits than its factorization.

242698680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 87 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The square root of 242698680 is about 15578.7894266532. The cubic root of 242698680 is about 623.7671098368.

The spelling of 242698680 in words is "two hundred forty-two million, six hundred ninety-eight thousand, six hundred eighty".