Search a number
-
+
39137040 = 2433518119
BaseRepresentation
bin1001010101001…
…0111100010000
32201122100221000
42111102330100
540004341130
63514502000
7653442105
oct225227420
981570830
1039137040
1120101268
1211134900
138153b17
1452aaaac
153681260
hex2552f10

39137040 has 80 divisors (see below), whose sum is σ = 134812800. Its totient is φ = 10435968.

The previous prime is 39137039. The next prime is 39137047. The reversal of 39137040 is 4073193.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 39136995 and 39137013.

It is not an unprimeable number, because it can be changed into a prime (39137047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6900 + ... + 11219.

It is an arithmetic number, because the mean of its divisors is an integer number (1685160).

Almost surely, 239137040 is an apocalyptic number.

39137040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

39137040 is an abundant number, since it is smaller than the sum of its proper divisors (95675760).

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

39137040 is a wasteful number, since it uses less digits than its factorization.

39137040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18141 (or 18129 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 39137040 is about 6255.9603579307. The cubic root of 39137040 is about 339.5178864762.

The spelling of 39137040 in words is "thirty-nine million, one hundred thirty-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 18119 36238 54357 72476 90595 108714 144952 163071 181190 217428 271785 289904 326142 362380 434856 489213 543570 652284 724760 815355 869712 978426 1087140 1304568 1449520 1630710 1956852 2174280 2446065 2609136 3261420 3913704 4348560 4892130 6522840 7827408 9784260 13045680 19568520 39137040