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20713000 = 2353711269
BaseRepresentation
bin100111100000…
…0111000101000
31102222022220011
41033000320220
520300304000
62015541304
7341025520
oct117007050
942868804
1020713000
1110767a90
126b2a834
1343a2b19
142a72680
151c422ba
hex13c0e28

20713000 has 128 divisors (see below), whose sum is σ = 60652800. Its totient is φ = 6432000.

The previous prime is 20712997. The next prime is 20713003. The reversal of 20713000 is 31702.

It is an interprime number because it is at equal distance from previous prime (20712997) and next prime (20713003).

It is not an unprimeable number, because it can be changed into a prime (20713003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 76866 + ... + 77134.

It is an arithmetic number, because the mean of its divisors is an integer number (473850).

Almost surely, 220713000 is an apocalyptic number.

20713000 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 20713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30326400).

20713000 is an abundant number, since it is smaller than the sum of its proper divisors (39939800).

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

20713000 is a wasteful number, since it uses less digits than its factorization.

20713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 42, while the sum is 13.

The square root of 20713000 is about 4551.1536998875. The cubic root of 20713000 is about 274.6298049106.

Adding to 20713000 its reverse (31702), we get a palindrome (20744702).

The spelling of 20713000 in words is "twenty million, seven hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 125 140 154 175 200 220 250 269 275 280 308 350 385 440 500 538 550 616 700 770 875 1000 1076 1100 1345 1375 1400 1540 1750 1883 1925 2152 2200 2690 2750 2959 3080 3500 3766 3850 5380 5500 5918 6725 7000 7532 7700 9415 9625 10760 11000 11836 13450 14795 15064 15400 18830 19250 20713 23672 26900 29590 33625 37660 38500 41426 47075 53800 59180 67250 73975 75320 77000 82852 94150 103565 118360 134500 147950 165704 188300 207130 235375 269000 295900 369875 376600 414260 470750 517825 591800 739750 828520 941500 1035650 1479500 1883000 2071300 2589125 2959000 4142600 5178250 10356500 20713000