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36920814 = 2372314051
BaseRepresentation
bin1000110011010…
…1110111101110
32120110202211120
42030311313232
533422431224
63355201410
7625551600
oct214656756
976422746
1036920814
1119928177
1210446266
137859148
144c91170
153394779
hex2335dee

36920814 has 48 divisors (see below), whose sum is σ = 88690176. Its totient is φ = 10206000.

The previous prime is 36920801. The next prime is 36920831. The reversal of 36920814 is 41802963.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a plaindrome in base 16.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7089 + ... + 11139.

It is an arithmetic number, because the mean of its divisors is an integer number (1847712).

Almost surely, 236920814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 36920814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44345088).

36920814 is an abundant number, since it is smaller than the sum of its proper divisors (51769362).

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

36920814 is a wasteful number, since it uses less digits than its factorization.

36920814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4101 (or 4094 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 36920814 is about 6076.2499948570. The cubic root of 36920814 is about 332.9842988746.

The spelling of 36920814 in words is "thirty-six million, nine hundred twenty thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 93 98 147 186 217 294 434 651 1302 1519 3038 4051 4557 8102 9114 12153 24306 28357 56714 85071 125581 170142 198499 251162 376743 396998 595497 753486 879067 1190994 1758134 2637201 5274402 6153469 12306938 18460407 36920814