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68597640 = 23325892141
BaseRepresentation
bin1000001011010…
…11011110001000
311210002010021100
410011223132020
5120030111030
610450141400
71462033056
oct405533610
9153063240
1068597640
11357a3471
121ab81860
131129a427
1491791d6
156050360
hex416b788

68597640 has 96 divisors (see below), whose sum is σ = 225552600. Its totient is φ = 18078720.

The previous prime is 68597623. The next prime is 68597671. The reversal of 68597640 is 4679586.

It can be written as a sum of positive squares in 4 ways, for example, as 60746436 + 7851204 = 7794^2 + 2802^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 30970 + ... + 33110.

Almost surely, 268597640 is an apocalyptic number.

68597640 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 68597640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112776300).

68597640 is an abundant number, since it is smaller than the sum of its proper divisors (156954960).

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

68597640 is a wasteful number, since it uses less digits than its factorization.

68597640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2247 (or 2240 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 68597640 is about 8282.3692262540. The cubic root of 68597640 is about 409.3577889546.

The spelling of 68597640 in words is "sixty-eight million, five hundred ninety-seven thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 89 90 120 178 180 267 356 360 445 534 712 801 890 1068 1335 1602 1780 2136 2141 2670 3204 3560 4005 4282 5340 6408 6423 8010 8564 10680 10705 12846 16020 17128 19269 21410 25692 32040 32115 38538 42820 51384 64230 77076 85640 96345 128460 154152 190549 192690 256920 381098 385380 571647 762196 770760 952745 1143294 1524392 1714941 1905490 2286588 2858235 3429882 3810980 4573176 5716470 6859764 7621960 8574705 11432940 13719528 17149410 22865880 34298820 68597640