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20097576 = 2332475939
BaseRepresentation
bin100110010101…
…0101000101000
31101211001200200
41030222220220
520121110301
61554432200
7332553342
oct114525050
941731620
1020097576
1110387674
126892660
134218975
142952292
151b6ec86
hex132aa28

20097576 has 48 divisors (see below), whose sum is σ = 55598400. Its totient is φ = 6555552.

The previous prime is 20097569. The next prime is 20097577. The reversal of 20097576 is 67579002.

It is a super-2 number, since 2×200975762 = 807825122151552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20097576.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20097577) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 415 + ... + 6353.

It is an arithmetic number, because the mean of its divisors is an integer number (1158300).

Almost surely, 220097576 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 20097576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27799200).

20097576 is an abundant number, since it is smaller than the sum of its proper divisors (35500824).

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

20097576 is a wasteful number, since it uses less digits than its factorization.

20097576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5998 (or 5991 counting only the distinct ones).

The product of its (nonzero) digits is 26460, while the sum is 36.

The square root of 20097576 is about 4483.0320097006. The cubic root of 20097576 is about 271.8824823942.

The spelling of 20097576 in words is "twenty million, ninety-seven thousand, five hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 47 72 94 141 188 282 376 423 564 846 1128 1692 3384 5939 11878 17817 23756 35634 47512 53451 71268 106902 142536 213804 279133 427608 558266 837399 1116532 1674798 2233064 2512197 3349596 5024394 6699192 10048788 20097576