Search a number
-
+
39939900 = 2235272111319
BaseRepresentation
bin1001100001011…
…0111100111100
32210011011020120
42120112330330
540211034100
63544014540
7663324600
oct230267474
983134216
1039939900
11205aa490
1211461450
1383753a0
145439500
15378e0a0
hex2616f3c

39939900 has 432 divisors, whose sum is σ = 166239360. Its totient is φ = 7257600.

The previous prime is 39939877. The next prime is 39939917. The reversal of 39939900 is 993993.

39939900 = T379 + T380 + ... + T664.

It is a super-2 number, since 2×399399002 = 3190391224020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2102091 + ... + 2102109.

Almost surely, 239939900 is an apocalyptic number.

39939900 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 39939900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83119680).

39939900 is an abundant number, since it is smaller than the sum of its proper divisors (126299460).

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

39939900 is a wasteful number, since it uses less digits than its factorization.

39939900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 59049, while the sum is 42.

The square root of 39939900 is about 6319.8022120949. The cubic root of 39939900 is about 341.8238208890.

It can be divided in two parts, 399 and 39900, that multiplied together give a square (15920100 = 39902).

The spelling of 39939900 in words is "thirty-nine million, nine hundred thirty-nine thousand, nine hundred".