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36680420 = 225735347
BaseRepresentation
bin1000101111101…
…1001011100100
32120000120002002
42023323023210
533342233140
63350104432
7623531000
oct213731344
976016062
1036680420
11197835a7
121034b118
1377a38ba
144c2b700
153348415
hex22fb2e4

36680420 has 48 divisors (see below), whose sum is σ = 89846400. Its totient is φ = 12573792.

The previous prime is 36680417. The next prime is 36680429. The reversal of 36680420 is 2408663.

It is a super-2 number, since 2×366804202 = 2690906422752800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (36680429) 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, 4187 + ... + 9533.

It is an arithmetic number, because the mean of its divisors is an integer number (1871800).

Almost surely, 236680420 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 36680420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44923200).

36680420 is an abundant number, since it is smaller than the sum of its proper divisors (53165980).

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

36680420 is a wasteful number, since it uses less digits than its factorization.

36680420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5377 (or 5361 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 36680420 is about 6056.4362458462. The cubic root of 36680420 is about 332.2600299913.

The spelling of 36680420 in words is "thirty-six million, six hundred eighty thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 490 686 980 1372 1715 3430 5347 6860 10694 21388 26735 37429 53470 74858 106940 149716 187145 262003 374290 524006 748580 1048012 1310015 1834021 2620030 3668042 5240060 7336084 9170105 18340210 36680420