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243153020 = 225114912251
BaseRepresentation
bin11100111111000…
…11100001111100
3121221112110020102
432133203201330
5444221344040
640043340232
76011523635
oct1637434174
9557473212
10243153020
11115287510
1269521678
133b4b6036
142441688c
1516530515
hexe7e387c

243153020 has 48 divisors (see below), whose sum is σ = 558423936. Its totient is φ = 88200000.

The previous prime is 243153017. The next prime is 243153037. The reversal of 243153020 is 20351342.

It is a happy number.

It is a super-2 number, since 2×2431530202 = 118246782270240800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 243152983 and 243153001.

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 15 ways as a sum of consecutive naturals, for example, 106895 + ... + 109145.

It is an arithmetic number, because the mean of its divisors is an integer number (11633832).

Almost surely, 2243153020 is an apocalyptic number.

243153020 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 243153020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279211968).

243153020 is an abundant number, since it is smaller than the sum of its proper divisors (315270916).

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

243153020 is a wasteful number, since it uses less digits than its factorization.

243153020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2762 (or 2760 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 243153020 is about 15593.3646144762. The cubic root of 243153020 is about 624.1561047916.

The spelling of 243153020 in words is "two hundred forty-three million, one hundred fifty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 491 982 1964 2251 2455 4502 4910 5401 9004 9820 10802 11255 21604 22510 24761 27005 45020 49522 54010 99044 108020 123805 247610 495220 1105241 2210482 4420964 5526205 11052410 12157651 22104820 24315302 48630604 60788255 121576510 243153020