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20398770 = 2335743251
BaseRepresentation
bin100110111010…
…0001010110010
31102101100212000
41031310022302
520210230040
62005114430
7335246430
oct115641262
942340760
1020398770
1110572997
1269b8a16
1342c2aa2
1429cdd50
151bce130
hex13742b2

20398770 has 128 divisors (see below), whose sum is σ = 63866880. Its totient is φ = 4536000.

The previous prime is 20398757. The next prime is 20398787. The reversal of 20398770 is 7789302.

20398770 = 8402 + 8412 + ... + 8672.

It is a super-2 number, since 2×203987702 = 832219635025800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81145 + ... + 81395.

It is an arithmetic number, because the mean of its divisors is an integer number (498960).

Almost surely, 220398770 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20398770, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31933440).

20398770 is an abundant number, since it is smaller than the sum of its proper divisors (43468110).

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

20398770 is a wasteful number, since it uses less digits than its factorization.

20398770 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 20398770 is about 4516.4997509133. The cubic root of 20398770 is about 273.2339499221.

The spelling of 20398770 in words is "twenty million, three hundred ninety-eight thousand, seven hundred seventy".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 43 45 54 63 70 86 90 105 126 129 135 189 210 215 251 258 270 301 315 378 387 430 502 602 630 645 753 774 903 945 1161 1255 1290 1505 1506 1757 1806 1890 1935 2259 2322 2510 2709 3010 3514 3765 3870 4515 4518 5271 5418 5805 6777 7530 8127 8785 9030 10542 10793 11295 11610 13545 13554 15813 16254 17570 21586 22590 26355 27090 31626 32379 33885 40635 47439 52710 53965 64758 67770 75551 79065 81270 94878 97137 107930 151102 158130 161895 194274 226653 237195 291411 323790 377755 453306 474390 485685 582822 679959 755510 971370 1133265 1359918 1457055 2039877 2266530 2914110 3399795 4079754 6799590 10199385 20398770