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68202420 = 223511137949
BaseRepresentation
bin1000001000010…
…10111110110100
311202100001010120
410010022332310
5114424434140
610433451540
71455465606
oct404127664
9152301116
1068202420
1135553540
121aa10bb0
131118c580
1490b5176
155ec31d0
hex410afb4

68202420 has 96 divisors (see below), whose sum is σ = 224380800. Its totient is φ = 15260160.

The previous prime is 68202413. The next prime is 68202427. The reversal of 68202420 is 2420286.

It is an interprime number because it is at equal distance from previous prime (68202413) and next prime (68202427).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (68202427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4606 + ... + 12554.

It is an arithmetic number, because the mean of its divisors is an integer number (2337300).

Almost surely, 268202420 is an apocalyptic number.

68202420 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 68202420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112190400).

68202420 is an abundant number, since it is smaller than the sum of its proper divisors (156178380).

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

68202420 is a wasteful number, since it uses less digits than its factorization.

68202420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7985 (or 7983 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 68202420 is about 8258.4756462679. The cubic root of 68202420 is about 408.5701132159.

The spelling of 68202420 in words is "sixty-eight million, two hundred two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 13 15 20 22 26 30 33 39 44 52 55 60 65 66 78 110 130 132 143 156 165 195 220 260 286 330 390 429 572 660 715 780 858 1430 1716 2145 2860 4290 7949 8580 15898 23847 31796 39745 47694 79490 87439 95388 103337 119235 158980 174878 206674 238470 262317 310011 349756 413348 437195 476940 516685 524634 620022 874390 1033370 1049268 1136707 1240044 1311585 1550055 1748780 2066740 2273414 2623170 3100110 3410121 4546828 5246340 5683535 6200220 6820242 11367070 13640484 17050605 22734140 34101210 68202420