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36353980 = 22513373779
BaseRepresentation
bin1000101010101…
…1011110111100
32112101222021201
42022223132330
533301311410
63335105244
7621001165
oct212533674
975358251
1036353980
1119580313
1210212224
1376bb140
144b8476c
1532d183a
hex22ab7bc

36353980 has 48 divisors (see below), whose sum is σ = 84460320. Its totient is φ = 13056768.

The previous prime is 36353969. The next prime is 36353981. The reversal of 36353980 is 8935363.

It is a super-2 number, since 2×363539802 = 2643223723680800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (36353981) 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, 7731 + ... + 11509.

It is an arithmetic number, because the mean of its divisors is an integer number (1759590).

Almost surely, 236353980 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 36353980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42230160).

36353980 is an abundant number, since it is smaller than the sum of its proper divisors (48106340).

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

36353980 is a wasteful number, since it uses less digits than its factorization.

36353980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3838 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 37.

The square root of 36353980 is about 6029.4261750186. The cubic root of 36353980 is about 331.2714342366.

The spelling of 36353980 in words is "thirty-six million, three hundred fifty-three thousand, nine hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 37 52 65 74 130 148 185 260 370 481 740 962 1924 2405 3779 4810 7558 9620 15116 18895 37790 49127 75580 98254 139823 196508 245635 279646 491270 559292 699115 982540 1398230 1817699 2796460 3635398 7270796 9088495 18176990 36353980