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168918040 = 23529223653
BaseRepresentation
bin10100001000101…
…11110000011000
3102202211220222201
422010113300120
5321220334130
624432255544
74120531264
oct1204276030
9382756881
10168918040
1187393695
12486a15b4
1328cc3a05
14186110a4
15ec69bca
hexa117c18

168918040 has 64 divisors (see below), whose sum is σ = 395539200. Its totient is φ = 64845312.

The previous prime is 168918023. The next prime is 168918067. The reversal of 168918040 is 40819861.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 258354 + ... + 259006.

It is an arithmetic number, because the mean of its divisors is an integer number (6180300).

Almost surely, 2168918040 is an apocalyptic number.

168918040 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 168918040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197769600).

168918040 is an abundant number, since it is smaller than the sum of its proper divisors (226621160).

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

168918040 is a wasteful number, since it uses less digits than its factorization.

168918040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 916 (or 912 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 37.

The square root of 168918040 is about 12996.8473100210. The cubic root of 168918040 is about 552.7880905086.

The spelling of 168918040 in words is "one hundred sixty-eight million, nine hundred eighteen thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 223 232 290 446 580 653 892 1115 1160 1306 1784 2230 2612 3265 4460 5224 6467 6530 8920 12934 13060 18937 25868 26120 32335 37874 51736 64670 75748 94685 129340 145619 151496 189370 258680 291238 378740 582476 728095 757480 1164952 1456190 2912380 4222951 5824760 8445902 16891804 21114755 33783608 42229510 84459020 168918040