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252066240 = 2632587523
BaseRepresentation
bin11110000011000…
…11100111000000
3122120022021212200
433001203213000
51004012104430
641002353200
76150345666
oct1701434700
9576267780
10252066240
1111a315108
12704bb800
13402b702a
1425696c36
15171e1460
hexf0639c0

252066240 has 84 divisors (see below), whose sum is σ = 867012744. Its totient is φ = 67216896.

The previous prime is 252066233. The next prime is 252066247. The reversal of 252066240 is 42660252.

It is an interprime number because it is at equal distance from previous prime (252066233) and next prime (252066247).

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252066247) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 40882 + ... + 46641.

Almost surely, 2252066240 is an apocalyptic number.

252066240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

252066240 is an abundant number, since it is smaller than the sum of its proper divisors (614946504).

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

252066240 is a wasteful number, since it uses less digits than its factorization.

252066240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87546 (or 87533 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 252066240 is about 15876.5940931927. The cubic root of 252066240 is about 631.6912982585.

The spelling of 252066240 in words is "two hundred fifty-two million, sixty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 144 160 180 192 240 288 320 360 480 576 720 960 1440 2880 87523 175046 262569 350092 437615 525138 700184 787707 875230 1050276 1312845 1400368 1575414 1750460 2100552 2625690 2800736 3150828 3500920 3938535 4201104 5251380 5601472 6301656 7001840 7877070 8402208 10502760 12603312 14003680 15754140 16804416 21005520 25206624 28007360 31508280 42011040 50413248 63016560 84022080 126033120 252066240