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242755240 = 235713173923
BaseRepresentation
bin11100111100000…
…10011010101000
3121220210020120211
432132002122220
5444121131430
640031030504
76005246140
oct1636023250
9556706524
10242755240
11115035672
126936b434
133b3a6c70
1424351920
15164a272a
hexe7826a8

242755240 has 128 divisors (see below), whose sum is σ = 711970560. Its totient is φ = 72290304.

The previous prime is 242755181. The next prime is 242755277. The reversal of 242755240 is 42557242.

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 31 ways as a sum of consecutive naturals, for example, 59919 + ... + 63841.

It is an arithmetic number, because the mean of its divisors is an integer number (5562270).

Almost surely, 2242755240 is an apocalyptic number.

242755240 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 242755240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (355985280).

242755240 is an abundant number, since it is smaller than the sum of its proper divisors (469215320).

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

242755240 is a wasteful number, since it uses less digits than its factorization.

242755240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3971 (or 3967 counting only the distinct ones).

The product of its (nonzero) digits is 22400, while the sum is 31.

The square root of 242755240 is about 15580.6046095779. The cubic root of 242755240 is about 623.8155615870.

The spelling of 242755240 in words is "two hundred forty-two million, seven hundred fifty-five thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 17 20 26 28 34 35 40 52 56 65 68 70 85 91 104 119 130 136 140 170 182 221 238 260 280 340 364 442 455 476 520 595 680 728 884 910 952 1105 1190 1547 1768 1820 2210 2380 3094 3640 3923 4420 4760 6188 7735 7846 8840 12376 15470 15692 19615 27461 30940 31384 39230 50999 54922 61880 66691 78460 101998 109844 133382 137305 156920 203996 219688 254995 266764 274610 333455 356993 407992 466837 509990 533528 549220 666910 713986 866983 933674 1019980 1098440 1333820 1427972 1733966 1784965 1867348 2039960 2334185 2667640 2855944 3467932 3569930 3734696 4334915 4668370 6068881 6935864 7139860 8669830 9336740 12137762 14279720 17339660 18673480 24275524 30344405 34679320 48551048 60688810 121377620 242755240