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39680000 = 2115431
BaseRepresentation
bin1001011101011…
…1100000000000
32202122221201122
42113113200000
540124230000
63534251412
7661163063
oct227274000
982587648
1039680000
1120442198
1211356b68
1382b3cb9
1453ac8da
15373c085
hex25d7800

39680000 has 120 divisors (see below), whose sum is σ = 102342240. Its totient is φ = 15360000.

The previous prime is 39679993. The next prime is 39680009. The reversal of 39680000 is 8693.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (39680009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1279985 + ... + 1280015.

It is an arithmetic number, because the mean of its divisors is an integer number (852852).

Almost surely, 239680000 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 39680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51171120).

39680000 is an abundant number, since it is smaller than the sum of its proper divisors (62662240).

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

39680000 is an frugal number, since it uses more digits than its factorization.

39680000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 39680000 is about 6299.2062992094. The cubic root of 39680000 is about 341.0807593313.

Adding to 39680000 its reverse (8693), we get a palindrome (39688693).

The spelling of 39680000 in words is "thirty-nine million, six hundred eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 31 32 40 50 62 64 80 100 124 125 128 155 160 200 248 250 256 310 320 400 496 500 512 620 625 640 775 800 992 1000 1024 1240 1250 1280 1550 1600 1984 2000 2048 2480 2500 2560 3100 3200 3875 3968 4000 4960 5000 5120 6200 6400 7750 7936 8000 9920 10000 10240 12400 12800 15500 15872 16000 19375 19840 20000 24800 25600 31000 31744 32000 38750 39680 40000 49600 51200 62000 63488 64000 77500 79360 80000 99200 124000 128000 155000 158720 160000 198400 248000 256000 310000 317440 320000 396800 496000 620000 640000 793600 992000 1240000 1280000 1587200 1984000 2480000 3968000 4960000 7936000 9920000 19840000 39680000