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240213240 = 233254714197
BaseRepresentation
bin11100101000101…
…01110011111000
3121202000002121200
432110111303320
5442443310430
635500334200
75644531101
oct1624256370
9552002550
10240213240
11113659843
1268544360
133a9c6c17
1423c8d3a8
151614e460
hexe515cf8

240213240 has 96 divisors (see below), whose sum is σ = 797359680. Its totient is φ = 62689536.

The previous prime is 240213229. The next prime is 240213269. The reversal of 240213240 is 42312042.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 9822 + ... + 24018.

It is an arithmetic number, because the mean of its divisors is an integer number (8305830).

Almost surely, 2240213240 is an apocalyptic number.

240213240 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 240213240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398679840).

240213240 is an abundant number, since it is smaller than the sum of its proper divisors (557146440).

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

240213240 is a wasteful number, since it uses less digits than its factorization.

240213240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14261 (or 14254 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 240213240 is about 15498.8141481857. The cubic root of 240213240 is about 621.6304984464.

Adding to 240213240 its reverse (42312042), we get a palindrome (282525282).

It can be divided in two parts, 24021 and 3240, that added together give a triangular number (27261 = T233).

The spelling of 240213240 in words is "two hundred forty million, two hundred thirteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 47 60 72 90 94 120 141 180 188 235 282 360 376 423 470 564 705 846 940 1128 1410 1692 1880 2115 2820 3384 4230 5640 8460 14197 16920 28394 42591 56788 70985 85182 113576 127773 141970 170364 212955 255546 283940 340728 425910 511092 567880 638865 667259 851820 1022184 1277730 1334518 1703640 2001777 2555460 2669036 3336295 4003554 5110920 5338072 6005331 6672590 8007108 10008885 12010662 13345180 16014216 20017770 24021324 26690360 30026655 40035540 48042648 60053310 80071080 120106620 240213240