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241936920 = 233254315629
BaseRepresentation
bin11100110101110…
…10101000011000
3121212020200001200
432122322220120
5443413440140
640001314200
75665300311
oct1632725030
9555220050
10241936920
11114626875
1269035960
133b17b654
14241bb608
1516390030
hexe6baa18

241936920 has 96 divisors (see below), whose sum is σ = 804632400. Its totient is φ = 63012096.

The previous prime is 241936909. The next prime is 241936939. The reversal of 241936920 is 29639142.

241936920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7666 + ... + 23294.

Almost surely, 2241936920 is an apocalyptic number.

241936920 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 241936920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402316200).

241936920 is an abundant number, since it is smaller than the sum of its proper divisors (562695480).

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

241936920 is a wasteful number, since it uses less digits than its factorization.

241936920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15689 (or 15682 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 241936920 is about 15554.3215859773. The cubic root of 241936920 is about 623.1138185039.

It can be divided in two parts, 24193 and 6920, that added together give a palindrome (31113).

The spelling of 241936920 in words is "two hundred forty-one million, nine hundred thirty-six thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 43 45 60 72 86 90 120 129 172 180 215 258 344 360 387 430 516 645 774 860 1032 1290 1548 1720 1935 2580 3096 3870 5160 7740 15480 15629 31258 46887 62516 78145 93774 125032 140661 156290 187548 234435 281322 312580 375096 468870 562644 625160 672047 703305 937740 1125288 1344094 1406610 1875480 2016141 2688188 2813220 3360235 4032282 5376376 5626440 6048423 6720470 8064564 10080705 12096846 13440940 16129128 20161410 24193692 26881880 30242115 40322820 48387384 60484230 80645640 120968460 241936920