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139640820 = 223511239199
BaseRepresentation
bin10000101001010…
…11111111110100
3100201202111012020
420110223333310
5241222001240
621504553140
73313633044
oct1024537764
9321674166
10139640820
1171907240
123a9227b0
1322c12a07
141478d724
15c3d50d0
hex852bff4

139640820 has 96 divisors (see below), whose sum is σ = 445132800. Its totient is φ = 32376960.

The previous prime is 139640803. The next prime is 139640827. The reversal of 139640820 is 28046931.

139640820 = 24532 + 24542 + ... + 24752.

It is a super-2 number, since 2×1396408202 = 38999117220544800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (139640827) 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, 10581 + ... + 19779.

It is an arithmetic number, because the mean of its divisors is an integer number (4636800).

Almost surely, 2139640820 is an apocalyptic number.

139640820 is a gapful number since it is divisible by the number (10) 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 139640820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222566400).

139640820 is an abundant number, since it is smaller than the sum of its proper divisors (305491980).

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

139640820 is a wasteful number, since it uses less digits than its factorization.

139640820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9245 (or 9243 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 139640820 is about 11816.9716932893. The cubic root of 139640820 is about 518.8049727391.

The spelling of 139640820 in words is "one hundred thirty-nine million, six hundred forty thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 23 30 33 44 46 55 60 66 69 92 110 115 132 138 165 220 230 253 276 330 345 460 506 660 690 759 1012 1265 1380 1518 2530 3036 3795 5060 7590 9199 15180 18398 27597 36796 45995 55194 91990 101189 110388 137985 183980 202378 211577 275970 303567 404756 423154 505945 551940 607134 634731 846308 1011890 1057885 1214268 1269462 1517835 2023780 2115770 2327347 2538924 3035670 3173655 4231540 4654694 6071340 6347310 6982041 9309388 11636735 12694620 13964082 23273470 27928164 34910205 46546940 69820410 139640820