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68819520 = 2635731119
BaseRepresentation
bin1000001101000…
…01101001000000
311210111101122010
410012201221000
5120104211040
610455012520
71463646000
oct406415100
9153441563
1068819520
1135935140
121b06a140
1311347413
1491d6000
156095e80
hex41a1a40

68819520 has 448 divisors, whose sum is σ = 292608000. Its totient is φ = 13547520.

The previous prime is 68819503. The next prime is 68819557. The reversal of 68819520 is 2591886.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×688195202 = 9472252666060800, 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 63 ways as a sum of consecutive naturals, for example, 3622071 + ... + 3622089.

Almost surely, 268819520 is an apocalyptic number.

68819520 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 68819520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146304000).

68819520 is an abundant number, since it is smaller than the sum of its proper divisors (223788480).

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

68819520 is a wasteful number, since it uses less digits than its factorization.

68819520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 39.

The square root of 68819520 is about 8295.7531303674. The cubic root of 68819520 is about 409.7986717281.

The spelling of 68819520 in words is "sixty-eight million, eight hundred nineteen thousand, five hundred twenty".