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20390700 = 223521137167
BaseRepresentation
bin100110111001…
…0001100101100
31102100221210010
41031302030230
520210000300
62005013220
7335214051
oct115621454
942327703
1020390700
1110567920
1269b4210
1342bc205
1429cb028
151bcba50
hex137232c

20390700 has 144 divisors (see below), whose sum is σ = 66495744. Its totient is φ = 4780800.

The previous prime is 20390681. The next prime is 20390707. The reversal of 20390700 is 709302.

It is not an unprimeable number, because it can be changed into a prime (20390707) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 122017 + ... + 122183.

It is an arithmetic number, because the mean of its divisors is an integer number (461776).

Almost surely, 220390700 is an apocalyptic number.

20390700 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 20390700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33247872).

20390700 is an abundant number, since it is smaller than the sum of its proper divisors (46105044).

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

20390700 is a wasteful number, since it uses less digits than its factorization.

20390700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 378, while the sum is 21.

The square root of 20390700 is about 4515.6062715875. The cubic root of 20390700 is about 273.1979136183.

The spelling of 20390700 in words is "twenty million, three hundred ninety thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 37 44 50 55 60 66 74 75 100 110 111 132 148 150 165 167 185 220 222 275 300 330 334 370 407 444 501 550 555 660 668 740 814 825 835 925 1002 1100 1110 1221 1628 1650 1670 1837 1850 2004 2035 2220 2442 2505 2775 3300 3340 3674 3700 4070 4175 4884 5010 5511 5550 6105 6179 7348 8140 8350 9185 10020 10175 11022 11100 12210 12358 12525 16700 18370 18537 20350 22044 24420 24716 25050 27555 30525 30895 36740 37074 40700 45925 50100 55110 61050 61790 67969 74148 91850 92685 110220 122100 123580 135938 137775 154475 183700 185370 203907 271876 275550 308950 339845 370740 407814 463425 551100 617900 679690 815628 926850 1019535 1359380 1699225 1853700 2039070 3398450 4078140 5097675 6796900 10195350 20390700