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68928240 = 24352312487
BaseRepresentation
bin1000001101111…
…00001011110000
311210200220202210
410012330023300
5120121200430
610501212120
71464610653
oct406741360
9153626683
1068928240
11359a9897
121b101040
1311384a54
14922389a
1560b82b0
hex41bc2f0

68928240 has 80 divisors (see below), whose sum is σ = 222985728. Its totient is φ = 17580288.

The previous prime is 68928203. The next prime is 68928247. The reversal of 68928240 is 4282986.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×689282402 = 9502204538995200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68928247) 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, 724 + ... + 11763.

Almost surely, 268928240 is an apocalyptic number.

68928240 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 68928240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111492864).

68928240 is an abundant number, since it is smaller than the sum of its proper divisors (154057488).

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

68928240 is a wasteful number, since it uses less digits than its factorization.

68928240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12526 (or 12520 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 39.

The square root of 68928240 is about 8302.3032948694. The cubic root of 68928240 is about 410.0143560311.

The spelling of 68928240 in words is "sixty-eight million, nine hundred twenty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 46 48 60 69 80 92 115 120 138 184 230 240 276 345 368 460 552 690 920 1104 1380 1840 2760 5520 12487 24974 37461 49948 62435 74922 99896 124870 149844 187305 199792 249740 287201 299688 374610 499480 574402 599376 749220 861603 998960 1148804 1436005 1498440 1723206 2297608 2872010 2996880 3446412 4308015 4595216 5744020 6892824 8616030 11488040 13785648 17232060 22976080 34464120 68928240