Search a number
-
+
39315390 = 23517127607
BaseRepresentation
bin1001010111111…
…0011110111110
32201222102120120
42111332132332
540031043030
63522355410
7655114062
oct225763676
981872516
1039315390
1120213264
12111bbb66
1381b705a
145315aa2
1536b9010
hex257e7be

39315390 has 64 divisors (see below), whose sum is σ = 100859904. Its totient is φ = 9773568.

The previous prime is 39315379. The next prime is 39315401. The reversal of 39315390 is 9351393.

It is an interprime number because it is at equal distance from previous prime (39315379) and next prime (39315401).

It is a zygodrome in base 12.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64467 + ... + 65073.

It is an arithmetic number, because the mean of its divisors is an integer number (1575936).

Almost surely, 239315390 is an apocalyptic number.

39315390 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 39315390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50429952).

39315390 is an abundant number, since it is smaller than the sum of its proper divisors (61544514).

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

39315390 is a wasteful number, since it uses less digits than its factorization.

39315390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761.

The product of its (nonzero) digits is 10935, while the sum is 33.

The square root of 39315390 is about 6270.1985614492. The cubic root of 39315390 is about 340.0328399652.

The spelling of 39315390 in words is "thirty-nine million, three hundred fifteen thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 127 170 254 255 381 510 607 635 762 1214 1270 1821 1905 2159 3035 3642 3810 4318 6070 6477 9105 10319 10795 12954 18210 20638 21590 30957 32385 51595 61914 64770 77089 103190 154178 154785 231267 309570 385445 462534 770890 1156335 1310513 2312670 2621026 3931539 6552565 7863078 13105130 19657695 39315390