Search a number
-
+
36674937 = 3413291201
BaseRepresentation
bin1000101111100…
…1110101111001
32120000021120000
42023321311321
533342044222
63350023213
7623506005
oct213716571
976007500
1036674937
111977a472
1210347b09
1377a1260
144c29705
1533469ac
hex22f9d79

36674937 has 40 divisors (see below), whose sum is σ = 61085640. Its totient is φ = 21772800.

The previous prime is 36674927. The next prime is 36674947. The reversal of 36674937 is 73947663.

It is an interprime number because it is at equal distance from previous prime (36674927) and next prime (36674947).

It can be written as a sum of positive squares in 4 ways, for example, as 962361 + 35712576 = 981^2 + 5976^2 .

It is not a de Polignac number, because 36674937 - 215 = 36642169 is a prime.

It is a plaindrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 36674892 and 36674901.

It is not an unprimeable number, because it can be changed into a prime (36674917) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 29937 + ... + 31137.

It is an arithmetic number, because the mean of its divisors is an integer number (1527141).

Almost surely, 236674937 is an apocalyptic number.

It is an amenable number.

36674937 is a deficient number, since it is larger than the sum of its proper divisors (24410703).

36674937 is a wasteful number, since it uses less digits than its factorization.

36674937 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1255 (or 1246 counting only the distinct ones).

The product of its digits is 571536, while the sum is 45.

The square root of 36674937 is about 6055.9835699909. The cubic root of 36674937 is about 332.2434737239.

The spelling of 36674937 in words is "thirty-six million, six hundred seventy-four thousand, nine hundred thirty-seven".

Divisors: 1 3 9 13 27 29 39 81 87 117 261 351 377 783 1053 1131 1201 2349 3393 3603 10179 10809 15613 30537 32427 34829 46839 97281 104487 140517 313461 421551 452777 940383 1264653 1358331 2821149 4074993 12224979 36674937