Search a number
-
+
68655840 = 25351113003
BaseRepresentation
bin1000001011110…
…01101011100000
311210012002002220
410011321223200
5120033441330
610451311040
71462364541
oct405715340
9153162086
1068655840
1135833170
121abab480
13112baa76
1491924c8
156062710
hex4179ae0

68655840 has 96 divisors (see below), whose sum is σ = 235944576. Its totient is φ = 16642560.

The previous prime is 68655827. The next prime is 68655841. The reversal of 68655840 is 4855686.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×686558402 = 9427248732211200, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 68655792 and 68655801.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68655841) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1222 + ... + 11781.

It is an arithmetic number, because the mean of its divisors is an integer number (2457756).

Almost surely, 268655840 is an apocalyptic number.

68655840 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 68655840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117972288).

68655840 is an abundant number, since it is smaller than the sum of its proper divisors (167288736).

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

68655840 is a wasteful number, since it uses less digits than its factorization.

68655840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13032 (or 13024 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 42.

The square root of 68655840 is about 8285.8819687466. The cubic root of 68655840 is about 409.4735261174.

The spelling of 68655840 in words is "sixty-eight million, six hundred fifty-five thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 32 33 40 44 48 55 60 66 80 88 96 110 120 132 160 165 176 220 240 264 330 352 440 480 528 660 880 1056 1320 1760 2640 5280 13003 26006 39009 52012 65015 78018 104024 130030 143033 156036 195045 208048 260060 286066 312072 390090 416096 429099 520120 572132 624144 715165 780180 858198 1040240 1144264 1248288 1430330 1560360 1716396 2080480 2145495 2288528 2860660 3120720 3432792 4290990 4577056 5721320 6241440 6865584 8581980 11442640 13731168 17163960 22885280 34327920 68655840