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241446040 = 23511737517
BaseRepresentation
bin11100110010000…
…10110010011000
3121211022201200221
432121002302120
5443302233130
635543005424
75661154213
oct1631026230
9554281627
10241446040
11114320a90
1268a39874
133b0390a4
14240d077a
15162e487a
hexe642c98

241446040 has 64 divisors (see below), whose sum is σ = 600838560. Its totient is φ = 86584320.

The previous prime is 241446013. The next prime is 241446047. The reversal of 241446040 is 40644142.

It is a junction number, because it is equal to n+sod(n) for n = 241445996 and 241446014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (241446047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28362 + ... + 35878.

Almost surely, 2241446040 is an apocalyptic number.

241446040 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 241446040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300419280).

241446040 is an abundant number, since it is smaller than the sum of its proper divisors (359392520).

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

241446040 is a wasteful number, since it uses less digits than its factorization.

241446040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7612 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 25.

The square root of 241446040 is about 15538.5340363884. The cubic root of 241446040 is about 622.6921091132.

The spelling of 241446040 in words is "two hundred forty-one million, four hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 73 88 110 146 220 292 365 440 584 730 803 1460 1606 2920 3212 4015 6424 7517 8030 15034 16060 30068 32120 37585 60136 75170 82687 150340 165374 300680 330748 413435 548741 661496 826870 1097482 1653740 2194964 2743705 3307480 4389928 5487410 6036151 10974820 12072302 21949640 24144604 30180755 48289208 60361510 120723020 241446040