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36002980 = 22513592347
BaseRepresentation
bin1000100101010…
…1110010100100
32111202010210201
42021111302210
533204043410
63323400244
7615006646
oct211256244
974663721
1036002980
1119360632
1210083084
1375c7450
144ad2896
15326283a
hex2255ca4

36002980 has 48 divisors (see below), whose sum is σ = 82837440. Its totient is φ = 13062528.

The previous prime is 36002971. The next prime is 36003013. The reversal of 36002980 is 8920063.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 14167 + ... + 16513.

It is an arithmetic number, because the mean of its divisors is an integer number (1725780).

Almost surely, 236002980 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 36002980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41418720).

36002980 is an abundant number, since it is smaller than the sum of its proper divisors (46834460).

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

36002980 is a wasteful number, since it uses less digits than its factorization.

36002980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2428 (or 2426 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

The square root of 36002980 is about 6000.2483281944. The cubic root of 36002980 is about 330.2018355114.

The spelling of 36002980 in words is "thirty-six million, two thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 59 65 118 130 236 260 295 590 767 1180 1534 2347 3068 3835 4694 7670 9388 11735 15340 23470 30511 46940 61022 122044 138473 152555 276946 305110 553892 610220 692365 1384730 1800149 2769460 3600298 7200596 9000745 18001490 36002980