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68162640 = 24357133121
BaseRepresentation
bin1000001000000…
…01010001010000
311202021000120020
410010001101100
5114422201030
610432543440
71455241620
oct404012120
9152230506
1068162640
1135526667
121a9b1b80
1311177430
1490a4880
155eb6510
hex4101450

68162640 has 160 divisors (see below), whose sum is σ = 260150016. Its totient is φ = 14376960.

The previous prime is 68162629. The next prime is 68162657. The reversal of 68162640 is 4626186.

It is a happy number.

It is a super-2 number, since 2×681626402 = 9292290983539200, which contains 22 as substring.

It is a congruent number.

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, 20280 + ... + 23400.

Almost surely, 268162640 is an apocalyptic number.

68162640 is a gapful number since it is divisible by the number (60) 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 68162640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130075008).

68162640 is an abundant number, since it is smaller than the sum of its proper divisors (191987376).

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

68162640 is a wasteful number, since it uses less digits than its factorization.

68162640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3157 (or 3151 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 68162640 is about 8256.0668601944. The cubic root of 68162640 is about 408.4906630535.

The spelling of 68162640 in words is "sixty-eight million, one hundred sixty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 13 14 15 16 20 21 24 26 28 30 35 39 40 42 48 52 56 60 65 70 78 80 84 91 104 105 112 120 130 140 156 168 182 195 208 210 240 260 273 280 312 336 364 390 420 455 520 546 560 624 728 780 840 910 1040 1092 1365 1456 1560 1680 1820 2184 2730 3120 3121 3640 4368 5460 6242 7280 9363 10920 12484 15605 18726 21840 21847 24968 31210 37452 40573 43694 46815 49936 62420 65541 74904 81146 87388 93630 109235 121719 124840 131082 149808 162292 174776 187260 202865 218470 243438 249680 262164 284011 324584 327705 349552 374520 405730 436940 486876 524328 568022 608595 649168 655410 749040 811460 852033 873880 973752 1048656 1136044 1217190 1310820 1420055 1622920 1704066 1747760 1947504 2272088 2434380 2621640 2840110 3245840 3408132 4260165 4544176 4868760 5243280 5680220 6816264 8520330 9737520 11360440 13632528 17040660 22720880 34081320 68162640