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241966140 = 2235131929563
BaseRepresentation
bin11100110110000…
…01110000111100
3121212022011010220
432123001300330
5443420404030
640002101340
75665451433
oct1633016074
9555264126
10241966140
11114646819
126904a850
133b18ba40
14241c811a
1516398a10
hexe6c1c3c

241966140 has 192 divisors, whose sum is σ = 795916800. Its totient is φ = 54383616.

The previous prime is 241966103. The next prime is 241966171. The reversal of 241966140 is 41669142.

241966140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2419661402 = 117095225812999200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 429499 + ... + 430061.

It is an arithmetic number, because the mean of its divisors is an integer number (4145400).

Almost surely, 2241966140 is an apocalyptic number.

241966140 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 241966140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397958400).

241966140 is an abundant number, since it is smaller than the sum of its proper divisors (553950660).

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

241966140 is a wasteful number, since it uses less digits than its factorization.

241966140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 636 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 241966140 is about 15555.2608464146. The cubic root of 241966140 is about 623.1389030767.

The spelling of 241966140 in words is "two hundred forty-one million, nine hundred sixty-six thousand, one hundred forty".