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39693920 = 255726183
BaseRepresentation
bin1001011101101…
…0111001100000
32202200122211012
42113122321200
540130201140
63534440052
7661251500
oct227327140
982618735
1039693920
11204516a2
1211363028
1382ba436
1453b3a00
153741265
hex25dae60

39693920 has 144 divisors (see below), whose sum is σ = 112211568. Its totient is φ = 13224960.

The previous prime is 39693889. The next prime is 39693931. The reversal of 39693920 is 2939693.

It is a happy number.

39693920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 478199 + ... + 478281.

It is an arithmetic number, because the mean of its divisors is an integer number (779247).

Almost surely, 239693920 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 39693920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56105784).

39693920 is an abundant number, since it is smaller than the sum of its proper divisors (72517648).

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

39693920 is a wasteful number, since it uses less digits than its factorization.

39693920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 78732, while the sum is 41.

The square root of 39693920 is about 6300.3111034297. The cubic root of 39693920 is about 341.1206391119.

The spelling of 39693920 in words is "thirty-nine million, six hundred ninety-three thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 61 70 80 83 98 112 122 140 160 166 196 224 244 245 280 305 332 392 415 427 488 490 560 581 610 664 784 830 854 976 980 1120 1162 1220 1328 1568 1660 1708 1952 1960 2135 2324 2440 2656 2905 2989 3320 3416 3920 4067 4270 4648 4880 5063 5810 5978 6640 6832 7840 8134 8540 9296 9760 10126 11620 11956 13280 13664 14945 16268 17080 18592 20252 20335 23240 23912 25315 29890 32536 34160 35441 40504 40670 46480 47824 50630 59780 65072 68320 70882 81008 81340 92960 95648 101260 119560 130144 141764 162016 162680 177205 202520 239120 248087 283528 325360 354410 405040 478240 496174 567056 650720 708820 810080 992348 1134112 1240435 1417640 1984696 2480870 2835280 3969392 4961740 5670560 7938784 9923480 19846960 39693920