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240375420 = 223252116329
BaseRepresentation
bin11100101001111…
…01011001111100
3121202022100002100
432110331121330
5443014003140
635504025100
75646104655
oct1624753174
9552270070
10240375420
1111375a67a
1268602190
133aa5299c
1423cd252c
1516182530
hexe53d67c

240375420 has 72 divisors (see below), whose sum is σ = 732710160. Its totient is φ = 63786240.

The previous prime is 240375419. The next prime is 240375439. The reversal of 240375420 is 24573042.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34816 + ... + 41144.

It is an arithmetic number, because the mean of its divisors is an integer number (10176530).

Almost surely, 2240375420 is an apocalyptic number.

240375420 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 240375420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366355080).

240375420 is an abundant number, since it is smaller than the sum of its proper divisors (492334740).

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

240375420 is a wasteful number, since it uses less digits than its factorization.

240375420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6555 (or 6550 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 240375420 is about 15504.0452785717. The cubic root of 240375420 is about 621.7703649446.

The spelling of 240375420 in words is "two hundred forty million, three hundred seventy-five thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 211 422 633 844 1055 1266 1899 2110 2532 3165 3798 4220 6329 6330 7596 9495 12658 12660 18987 18990 25316 31645 37974 37980 56961 63290 75948 94935 113922 126580 189870 227844 284805 379740 569610 1139220 1335419 2670838 4006257 5341676 6677095 8012514 12018771 13354190 16025028 20031285 24037542 26708380 40062570 48075084 60093855 80125140 120187710 240375420