Search a number
-
+
38707740 = 22335431667
BaseRepresentation
bin1001001110101…
…0001000011100
32200211120001000
42103222020130
534402121430
63501350300
7650003361
oct223521034
980746030
1038707740
111a938775
1210b68390
1380335b6
1451d8468
1535e8e60
hex24ea21c

38707740 has 96 divisors (see below), whose sum is σ = 123298560. Its totient is φ = 10075968.

The previous prime is 38707729. The next prime is 38707741. The reversal of 38707740 is 4770783.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 38707695 and 38707704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38707741) 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 31 ways as a sum of consecutive naturals, for example, 22387 + ... + 24053.

It is an arithmetic number, because the mean of its divisors is an integer number (1284360).

Almost surely, 238707740 is an apocalyptic number.

38707740 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 38707740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61649280).

38707740 is an abundant number, since it is smaller than the sum of its proper divisors (84590820).

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

38707740 is a wasteful number, since it uses less digits than its factorization.

38707740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1728 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 32928, while the sum is 36.

The square root of 38707740 is about 6221.5544681374. The cubic root of 38707740 is about 338.2719121896.

The spelling of 38707740 in words is "thirty-eight million, seven hundred seven thousand, seven hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 43 45 54 60 86 90 108 129 135 172 180 215 258 270 387 430 516 540 645 774 860 1161 1290 1548 1667 1935 2322 2580 3334 3870 4644 5001 5805 6668 7740 8335 10002 11610 15003 16670 20004 23220 25005 30006 33340 45009 50010 60012 71681 75015 90018 100020 143362 150030 180036 215043 225045 286724 300060 358405 430086 450090 645129 716810 860172 900180 1075215 1290258 1433620 1935387 2150430 2580516 3225645 3870774 4300860 6451290 7741548 9676935 12902580 19353870 38707740