Search a number
-
+
36740496 = 2431397607
BaseRepresentation
bin1000110000100…
…1110110010000
32120010121111010
42030021312100
533401143441
63351250520
7624201102
oct214116620
976117433
1036740496
1119814751
1210379a40
1377c5050
144c45572
15335b116
hex2309d90

36740496 has 80 divisors (see below), whose sum is σ = 103437824. Its totient is φ = 11169792.

The previous prime is 36740491. The next prime is 36740503. The reversal of 36740496 is 69404763.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (36740491) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 60225 + ... + 60831.

Almost surely, 236740496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36740496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51718912).

36740496 is an abundant number, since it is smaller than the sum of its proper divisors (66697328).

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

36740496 is a wasteful number, since it uses less digits than its factorization.

36740496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 728 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 39.

The square root of 36740496 is about 6061.3938990961. The cubic root of 36740496 is about 332.4413253166.

The spelling of 36740496 in words is "thirty-six million, seven hundred forty thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 97 104 156 194 208 291 312 388 582 607 624 776 1164 1214 1261 1552 1821 2328 2428 2522 3642 3783 4656 4856 5044 7284 7566 7891 9712 10088 14568 15132 15782 20176 23673 29136 30264 31564 47346 58879 60528 63128 94692 117758 126256 176637 189384 235516 353274 378768 471032 706548 765427 942064 1413096 1530854 2296281 2826192 3061708 4592562 6123416 9185124 12246832 18370248 36740496