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168460740 = 223257235813
BaseRepresentation
bin10100000101010…
…00000111000100
3102201222200200200
422002220013010
5321111220430
624414410500
74113615120
oct1202500704
9381880620
10168460740
1187101058
1248500a30
1328b93816
1418532580
15ebc9460
hexa0a81c4

168460740 has 144 divisors (see below), whose sum is σ = 609493248. Its totient is φ = 36824832.

The previous prime is 168460703. The next prime is 168460757. The reversal of 168460740 is 47064861.

168460740 is a `hidden beast` number, since 1 + 6 + 8 + 4 + 607 + 40 = 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 = 168460695 and 168460704.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 26074 + ... + 31886.

It is an arithmetic number, because the mean of its divisors is an integer number (4232592).

Almost surely, 2168460740 is an apocalyptic number.

168460740 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 168460740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304746624).

168460740 is an abundant number, since it is smaller than the sum of its proper divisors (441032508).

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

168460740 is a wasteful number, since it uses less digits than its factorization.

168460740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5858 (or 5853 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The square root of 168460740 is about 12979.2426589536. The cubic root of 168460740 is about 552.2887981541.

Subtracting from 168460740 its product of nonzero digits (32256), we obtain a square (168428484 = 129782).

The spelling of 168460740 in words is "one hundred sixty-eight million, four hundred sixty thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 23 28 30 35 36 42 45 46 60 63 69 70 84 90 92 105 115 126 138 140 161 180 207 210 230 252 276 315 322 345 414 420 460 483 630 644 690 805 828 966 1035 1260 1380 1449 1610 1932 2070 2415 2898 3220 4140 4830 5796 5813 7245 9660 11626 14490 17439 23252 28980 29065 34878 40691 52317 58130 69756 81382 87195 104634 116260 122073 133699 162764 174390 203455 209268 244146 261585 267398 348780 366219 401097 406910 488292 523170 534796 610365 668495 732438 802194 813820 935893 1046340 1203291 1220730 1336990 1464876 1604388 1831095 1871786 2005485 2406582 2441460 2673980 2807679 3662190 3743572 4010970 4679465 4813164 5615358 6016455 7324380 8021940 8423037 9358930 11230716 12032910 14038395 16846074 18717860 24065820 28076790 33692148 42115185 56153580 84230370 168460740