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36729420 = 22357213312
BaseRepresentation
bin1000110000011…
…1001001001100
32120010001021220
42030013021030
533400320140
63351123340
7624123600
oct214071114
976101256
1036729420
11198073a2
1210373550
1377bccb0
144c41500
153357bd0
hex230724c

36729420 has 216 divisors, whose sum is σ = 133125552. Its totient is φ = 7499520.

The previous prime is 36729383. The next prime is 36729431. The reversal of 36729420 is 2492763.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1184805 + ... + 1184835.

It is an arithmetic number, because the mean of its divisors is an integer number (616322).

Almost surely, 236729420 is an apocalyptic number.

36729420 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 36729420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66562776).

36729420 is an abundant number, since it is smaller than the sum of its proper divisors (96396132).

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

36729420 is a wasteful number, since it uses less digits than its factorization.

36729420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 33.

The square root of 36729420 is about 6060.4801789957. The cubic root of 36729420 is about 332.4079154048.

The spelling of 36729420 in words is "thirty-six million, seven hundred twenty-nine thousand, four hundred twenty".