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20972608 = 2667273
BaseRepresentation
bin101000000000…
…0010001000000
31110110112000021
41100000101000
520332110413
62025303224
7343156426
oct120002100
943415007
1020972608
1110925038
127034b14
134464037
142add116
151c9418d
hex1400440

20972608 has 42 divisors (see below), whose sum is σ = 42826686. Its totient is φ = 10188288.

The previous prime is 20972603. The next prime is 20972621. The reversal of 20972608 is 80627902.

It can be written as a sum of positive squares in only one way, i.e., 18386944 + 2585664 = 4288^2 + 1608^2 .

It is not an unprimeable number, because it can be changed into a prime (20972603) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 287260 + ... + 287332.

It is an arithmetic number, because the mean of its divisors is an integer number (1019683).

Almost surely, 220972608 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 20972608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21413343).

20972608 is an abundant number, since it is smaller than the sum of its proper divisors (21854078).

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

20972608 is an frugal number, since it uses more digits than its factorization.

20972608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 20972608 is about 4579.5860074902. The cubic root of 20972608 is about 275.7724091726.

The spelling of 20972608 in words is "twenty million, nine hundred seventy-two thousand, six hundred eight".

Divisors: 1 2 4 8 16 32 64 67 73 134 146 268 292 536 584 1072 1168 2144 2336 4288 4489 4672 4891 8978 9782 17956 19564 35912 39128 71824 78256 143648 156512 287296 313024 327697 655394 1310788 2621576 5243152 10486304 20972608