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252243720 = 2335525951
BaseRepresentation
bin11110000100011…
…10111100001000
3122120122022100000
433002032330020
51004033244340
641010243000
76152015301
oct1702167410
9576568300
10252243720
1111a426493
1270586460
1340349a51
14257017a8
1517228d30
hexf08ef08

252243720 has 96 divisors (see below), whose sum is σ = 850187520. Its totient is φ = 67262400.

The previous prime is 252243709. The next prime is 252243743. The reversal of 252243720 is 27342252.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3256 + ... + 22695.

It is an arithmetic number, because the mean of its divisors is an integer number (8856120).

Almost surely, 2252243720 is an apocalyptic number.

252243720 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 252243720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425093760).

252243720 is an abundant number, since it is smaller than the sum of its proper divisors (597943800).

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

252243720 is a wasteful number, since it uses less digits than its factorization.

252243720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25977 (or 25961 counting only the distinct ones).

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

The square root of 252243720 is about 15882.1824696734. The cubic root of 252243720 is about 631.8395215576.

Adding to 252243720 its reverse (27342252), we get a palindrome (279585972).

The spelling of 252243720 in words is "two hundred fifty-two million, two hundred forty-three thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 243 270 324 360 405 486 540 648 810 972 1080 1215 1620 1944 2430 3240 4860 9720 25951 51902 77853 103804 129755 155706 207608 233559 259510 311412 389265 467118 519020 622824 700677 778530 934236 1038040 1167795 1401354 1557060 1868472 2102031 2335590 2802708 3114120 3503385 4204062 4671180 5605416 6306093 7006770 8408124 9342360 10510155 12612186 14013540 16816248 21020310 25224372 28027080 31530465 42040620 50448744 63060930 84081240 126121860 252243720