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20158680 = 2335315419
BaseRepresentation
bin100110011100…
…1100011011000
31101221011111210
41030321203120
520130034210
62000023120
7333226443
oct114714330
941834453
1020158680
1110419573
126901aa0
13423a719
14296a65a
151b82e20
hex13398d8

20158680 has 64 divisors (see below), whose sum is σ = 62438400. Its totient is φ = 5201280.

The previous prime is 20158661. The next prime is 20158681. The reversal of 20158680 is 8685102.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20158681) 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, 1011 + ... + 6429.

It is an arithmetic number, because the mean of its divisors is an integer number (975600).

Almost surely, 220158680 is an apocalyptic number.

20158680 is a gapful number since it is divisible by the number (20) 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 20158680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31219200).

20158680 is an abundant number, since it is smaller than the sum of its proper divisors (42279720).

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

20158680 is a wasteful number, since it uses less digits than its factorization.

20158680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5464 (or 5460 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 20158680 is about 4489.8418680395. The cubic root of 20158680 is about 272.1577444281.

The spelling of 20158680 in words is "twenty million, one hundred fifty-eight thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1860 3720 5419 10838 16257 21676 27095 32514 43352 54190 65028 81285 108380 130056 162570 167989 216760 325140 335978 503967 650280 671956 839945 1007934 1343912 1679890 2015868 2519835 3359780 4031736 5039670 6719560 10079340 20158680