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36046140 = 223513371249
BaseRepresentation
bin1000100110000…
…0010100111100
32111211100000020
42021200110330
533211434030
63324332140
7615246534
oct211402474
974740006
1036046140
111938aaa9
12100a4050
137610ca0
144b044c4
153270510
hex226053c

36046140 has 96 divisors (see below), whose sum is σ = 111720000. Its totient is φ = 8626176.

The previous prime is 36046117. The next prime is 36046163. The reversal of 36046140 is 4164063.

It is an interprime number because it is at equal distance from previous prime (36046117) and next prime (36046163).

It is a self number, because there is not a number n which added to its sum of digits gives 36046140.

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, 28236 + ... + 29484.

It is an arithmetic number, because the mean of its divisors is an integer number (1163750).

Almost surely, 236046140 is an apocalyptic number.

36046140 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 36046140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55860000).

36046140 is an abundant number, since it is smaller than the sum of its proper divisors (75673860).

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

36046140 is a wasteful number, since it uses less digits than its factorization.

36046140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1311 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 36046140 is about 6003.8437687868. The cubic root of 36046140 is about 330.3337303356. Note that the first 3 decimals are identical.

The spelling of 36046140 in words is "thirty-six million, forty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 37 39 52 60 65 74 78 111 130 148 156 185 195 222 260 370 390 444 481 555 740 780 962 1110 1249 1443 1924 2220 2405 2498 2886 3747 4810 4996 5772 6245 7215 7494 9620 12490 14430 14988 16237 18735 24980 28860 32474 37470 46213 48711 64948 74940 81185 92426 97422 138639 162370 184852 194844 231065 243555 277278 324740 462130 487110 554556 600769 693195 924260 974220 1201538 1386390 1802307 2403076 2772780 3003845 3604614 6007690 7209228 9011535 12015380 18023070 36046140