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168331940 = 22572361857
BaseRepresentation
bin10100000100010…
…00101010100100
3102201202011000022
422002020222210
5321043110230
624411534312
74112540450
oct1202105244
9381664008
10168331940
1187023307
124845a398
1328b49cca
14184db660
15eba11e5
hexa088aa4

168331940 has 96 divisors (see below), whose sum is σ = 428972544. Its totient is φ = 54236160.

The previous prime is 168331903. The next prime is 168331951. The reversal of 168331940 is 49133861.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 168331940.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 195992 + ... + 196848.

It is an arithmetic number, because the mean of its divisors is an integer number (4468464).

Almost surely, 2168331940 is an apocalyptic number.

168331940 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 168331940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214486272).

168331940 is an abundant number, since it is smaller than the sum of its proper divisors (260640604).

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

168331940 is a wasteful number, since it uses less digits than its factorization.

168331940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 168331940 is about 12974.2799414842. The cubic root of 168331940 is about 552.1480078151.

The spelling of 168331940 in words is "one hundred sixty-eight million, three hundred thirty-one thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 61 70 92 115 122 140 161 230 244 305 322 427 460 610 644 805 854 857 1220 1403 1610 1708 1714 2135 2806 3220 3428 4270 4285 5612 5999 7015 8540 8570 9821 11998 14030 17140 19642 19711 23996 28060 29995 39284 39422 49105 52277 59990 78844 98210 98555 104554 119980 137977 196420 197110 209108 261385 275954 365939 394220 522770 551908 689885 731878 1045540 1202371 1379770 1463756 1829695 2404742 2759540 3659390 4809484 6011855 7318780 8416597 12023710 16833194 24047420 33666388 42082985 84165970 168331940