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168912540 = 22345127821
BaseRepresentation
bin10100001000101…
…10011010011100
3102202211122110000
422010112122130
5321220200130
624432214300
74120506246
oct1204263234
9382748400
10168912540
118738a545
124869a390
1328cc1364
141860d096
15ec68260
hexa11669c

168912540 has 120 divisors (see below), whose sum is σ = 534707712. Its totient is φ = 44634240.

The previous prime is 168912517. The next prime is 168912547. The reversal of 168912540 is 45219861.

168912540 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 = 168912495 and 168912504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (168912547) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 205330 + ... + 206150.

Almost surely, 2168912540 is an apocalyptic number.

168912540 is a gapful number since it is divisible by the number (10) 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 168912540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267353856).

168912540 is an abundant number, since it is smaller than the sum of its proper divisors (365795172).

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

168912540 is a wasteful number, since it uses less digits than its factorization.

168912540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 969 (or 958 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The square root of 168912540 is about 12996.6357185235. The cubic root of 168912540 is about 552.7820908189.

The spelling of 168912540 in words is "one hundred sixty-eight million, nine hundred twelve thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 127 135 162 180 254 270 324 381 405 508 540 635 762 810 821 1143 1270 1524 1620 1642 1905 2286 2463 2540 3284 3429 3810 4105 4572 4926 5715 6858 7389 7620 8210 9852 10287 11430 12315 13716 14778 16420 17145 20574 22167 22860 24630 29556 34290 36945 41148 44334 49260 51435 66501 68580 73890 88668 102870 104267 110835 133002 147780 205740 208534 221670 266004 312801 332505 417068 443340 521335 625602 665010 938403 1042670 1251204 1330020 1564005 1876806 2085340 2815209 3128010 3753612 4692015 5630418 6256020 8445627 9384030 11260836 14076045 16891254 18768060 28152090 33782508 42228135 56304180 84456270 168912540