Search a number
-
+
39778020 = 22335193877
BaseRepresentation
bin1001011110111…
…1011011100100
32202211221012000
42113233123210
540140344040
63540325300
7662051622
oct227573344
982757160
1039778020
11204a98a7
12113a3830
1383197b9
1453d6512
15375b130
hex25ef6e4

39778020 has 96 divisors (see below), whose sum is σ = 130300800. Its totient is φ = 10046592.

The previous prime is 39778009. The next prime is 39778021. The reversal of 39778020 is 2087793.

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

It is not an unprimeable number, because it can be changed into a prime (39778021) 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, 8322 + ... + 12198.

It is an arithmetic number, because the mean of its divisors is an integer number (1357300).

Almost surely, 239778020 is an apocalyptic number.

39778020 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 39778020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65150400).

39778020 is an abundant number, since it is smaller than the sum of its proper divisors (90522780).

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

39778020 is a wasteful number, since it uses less digits than its factorization.

39778020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3914 (or 3906 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 39778020 is about 6306.9818455423. The cubic root of 39778020 is about 341.3613813452.

The spelling of 39778020 in words is "thirty-nine million, seven hundred seventy-eight thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 27 30 36 38 45 54 57 60 76 90 95 108 114 135 171 180 190 228 270 285 342 380 513 540 570 684 855 1026 1140 1710 2052 2565 3420 3877 5130 7754 10260 11631 15508 19385 23262 34893 38770 46524 58155 69786 73663 77540 104679 116310 139572 147326 174465 209358 220989 232620 294652 348930 368315 418716 441978 523395 662967 697860 736630 883956 1046790 1104945 1325934 1473260 1988901 2093580 2209890 2651868 3314835 3977802 4419780 6629670 7955604 9944505 13259340 19889010 39778020