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39640680 = 23325293797
BaseRepresentation
bin1001011100110…
…1111001101000
32202120221210100
42113031321220
540122000210
63533345400
7660640332
oct227157150
982527710
1039640680
11204156a2
1211338260
13829c131
14539c452
1537305c0
hex25cde68

39640680 has 96 divisors (see below), whose sum is σ = 133309800. Its totient is φ = 10203648.

The previous prime is 39640673. The next prime is 39640691. The reversal of 39640680 is 8604693.

39640680 is a `hidden beast` number, since 3 + 9 + 640 + 6 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 19766916 + 19873764 = 4446^2 + 4458^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8542 + ... + 12338.

Almost surely, 239640680 is an apocalyptic number.

39640680 is a gapful number since it is divisible by the number (30) 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 39640680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66654900).

39640680 is an abundant number, since it is smaller than the sum of its proper divisors (93669120).

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

39640680 is a wasteful number, since it uses less digits than its factorization.

39640680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3843 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 39640680 is about 6296.0844975270. The cubic root of 39640680 is about 340.9680600052.

The spelling of 39640680 in words is "thirty-nine million, six hundred forty thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 3797 5220 7594 10440 11391 15188 18985 22782 30376 34173 37970 45564 56955 68346 75940 91128 110113 113910 136692 151880 170865 220226 227820 273384 330339 341730 440452 455640 550565 660678 683460 880904 991017 1101130 1321356 1366920 1651695 1982034 2202260 2642712 3303390 3964068 4404520 4955085 6606780 7928136 9910170 13213560 19820340 39640680