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68819040 = 2532547791
BaseRepresentation
bin1000001101000…
…01100001100000
311210111100222100
410012201201200
5120104202130
610455010400
71463644413
oct406414140
9153440870
1068819040
1135934844
121b069a00
1311347134
1491d5b7a
156095c60
hex41a1860

68819040 has 72 divisors (see below), whose sum is σ = 234849888. Its totient is φ = 18351360.

The previous prime is 68819011. The next prime is 68819087. The reversal of 68819040 is 4091886.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 68818986 and 68819004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22456 + ... + 25335.

It is an arithmetic number, because the mean of its divisors is an integer number (3261804).

Almost surely, 268819040 is an apocalyptic number.

68819040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

68819040 is an abundant number, since it is smaller than the sum of its proper divisors (166030848).

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

68819040 is a wasteful number, since it uses less digits than its factorization.

68819040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47812 (or 47801 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The square root of 68819040 is about 8295.7241998514. The cubic root of 68819040 is about 409.7977189760.

The spelling of 68819040 in words is "sixty-eight million, eight hundred nineteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 47791 95582 143373 191164 238955 286746 382328 430119 477910 573492 716865 764656 860238 955820 1146984 1433730 1529312 1720476 1911640 2150595 2293968 2867460 3440952 3823280 4301190 4587936 5734920 6881904 7646560 8602380 11469840 13763808 17204760 22939680 34409520 68819040