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20629080 = 233456367
BaseRepresentation
bin100111010110…
…0011001011000
31102211001210000
41032230121120
520240112310
62014053000
7340226043
oct116543130
942731700
1020629080
111070aa2a
126aaa160
134373874
142a4dc5a
151c274c0
hex13ac658

20629080 has 80 divisors (see below), whose sum is σ = 69347520. Its totient is φ = 5500224.

The previous prime is 20629073. The next prime is 20629097. The reversal of 20629080 is 8092602.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 57 + ... + 6423.

It is an arithmetic number, because the mean of its divisors is an integer number (866844).

Almost surely, 220629080 is an apocalyptic number.

20629080 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 20629080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34673760).

20629080 is an abundant number, since it is smaller than the sum of its proper divisors (48718440).

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

20629080 is a wasteful number, since it uses less digits than its factorization.

20629080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6390 (or 6377 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 20629080 is about 4541.9247021500. The cubic root of 20629080 is about 274.2584096704.

The spelling of 20629080 in words is "twenty million, six hundred twenty-nine thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 3240 6367 12734 19101 25468 31835 38202 50936 57303 63670 76404 95505 114606 127340 152808 171909 191010 229212 254680 286515 343818 382020 458424 515727 573030 687636 764040 859545 1031454 1146060 1375272 1719090 2062908 2292120 2578635 3438180 4125816 5157270 6876360 10314540 20629080