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20393370 = 2345171481
BaseRepresentation
bin100110111001…
…0110110011010
31102101002110000
41031302312122
520210041440
62005033430
7335224614
oct115626632
942332400
1020393370
1110569928
1269b5876
1342c04aa
1429cbdb4
151bcc730
hex1372d9a

20393370 has 80 divisors (see below), whose sum is σ = 58100328. Its totient is φ = 5114880.

The previous prime is 20393363. The next prime is 20393383. The reversal of 20393370 is 7339302.

20393370 is a `hidden beast` number, since 203 + 93 + 370 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17969121 + 2424249 = 4239^2 + 1557^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13030 + ... + 14510.

Almost surely, 220393370 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20393370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29050164).

20393370 is an abundant number, since it is smaller than the sum of its proper divisors (37706958).

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

20393370 is a wasteful number, since it uses less digits than its factorization.

20393370 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1517 (or 1508 counting only the distinct ones).

The product of its (nonzero) digits is 3402, while the sum is 27.

The square root of 20393370 is about 4515.9019032747. The cubic root of 20393370 is about 273.2098374626.

The spelling of 20393370 in words is "twenty million, three hundred ninety-three thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 81 85 90 102 135 153 162 170 255 270 306 405 459 510 765 810 918 1377 1481 1530 2295 2754 2962 4443 4590 6885 7405 8886 13329 13770 14810 22215 25177 26658 39987 44430 50354 66645 75531 79974 119961 125885 133290 151062 199935 226593 239922 251770 377655 399870 453186 599805 679779 755310 1132965 1199610 1359558 2039337 2265930 3398895 4078674 6797790 10196685 20393370