Search a number
-
+
36142340 = 22513217237
BaseRepresentation
bin1000100111011…
…1110100000100
32112000012222012
42021313310010
533223023330
63330353352
7616130153
oct211676404
975005865
1036142340
1119446303
121012b858
137645a00
144b2b59a
15328dc95
hex2277d04

36142340 has 108 divisors (see below), whose sum is σ = 89664876. Its totient is φ = 12220416.

The previous prime is 36142339. The next prime is 36142349. The reversal of 36142340 is 4324163.

It is a happy number.

It can be written as a sum of positive squares in 18 ways, for example, as 15856324 + 20286016 = 3982^2 + 4504^2 .

It is not an unprimeable number, because it can be changed into a prime (36142349) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 976802 + ... + 976838.

Almost surely, 236142340 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 36142340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44832438).

36142340 is an abundant number, since it is smaller than the sum of its proper divisors (53522536).

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

36142340 is a wasteful number, since it uses less digits than its factorization.

36142340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106 (or 74 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 23.

The square root of 36142340 is about 6011.8499648611. The cubic root of 36142340 is about 330.6273343746.

The spelling of 36142340 in words is "thirty-six million, one hundred forty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 13 17 20 26 34 37 52 65 68 74 85 130 148 169 170 185 221 260 289 338 340 370 442 481 578 629 676 740 845 884 962 1105 1156 1258 1445 1690 1924 2210 2405 2516 2873 2890 3145 3380 3757 4420 4810 5746 5780 6253 6290 7514 8177 9620 10693 11492 12506 12580 14365 15028 16354 18785 21386 25012 28730 31265 32708 37570 40885 42772 48841 53465 57460 62530 75140 81770 97682 106301 106930 125060 139009 163540 195364 212602 213860 244205 278018 425204 488410 531505 556036 695045 976820 1063010 1390090 1807117 2126020 2780180 3614234 7228468 9035585 18071170 36142340