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242595540 = 223351140841
BaseRepresentation
bin11100111010110…
…11011011010100
3121220111010112000
432131123123110
5444101024130
640023355300
76004012425
oct1635333324
9556433460
10242595540
11114a36690
12692b2b30
133b34c375
142430d64c
1516470260
hexe75b6d4

242595540 has 96 divisors (see below), whose sum is σ = 823374720. Its totient is φ = 58809600.

The previous prime is 242595539. The next prime is 242595547. The reversal of 242595540 is 45595242.

242595540 is a `hidden beast` number, since 2 + 4 + 25 + 95 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 242595495 and 242595504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242595547) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14481 + ... + 26360.

It is an arithmetic number, because the mean of its divisors is an integer number (8576820).

Almost surely, 2242595540 is an apocalyptic number.

242595540 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

242595540 is an abundant number, since it is smaller than the sum of its proper divisors (580779180).

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

242595540 is a wasteful number, since it uses less digits than its factorization.

242595540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40870 (or 40862 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The square root of 242595540 is about 15575.4788048394. The cubic root of 242595540 is about 623.6787362543.

The spelling of 242595540 in words is "two hundred forty-two million, five hundred ninety-five thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 90 99 108 110 132 135 165 180 198 220 270 297 330 396 495 540 594 660 990 1188 1485 1980 2970 5940 40841 81682 122523 163364 204205 245046 367569 408410 449251 490092 612615 735138 816820 898502 1102707 1225230 1347753 1470276 1797004 1837845 2205414 2246255 2450460 2695506 3675690 4043259 4410828 4492510 5391012 5513535 6738765 7351380 8086518 8985020 11027070 12129777 13477530 16173036 20216295 22054140 24259554 26955060 40432590 48519108 60648885 80865180 121297770 242595540