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20157390 = 2335112617
BaseRepresentation
bin100110011100…
…1001111001110
31101221002202000
41030321033032
520130014030
62000013130
7333222621
oct114711716
941832660
1020157390
1110418600
1269011a6
134239c66
142969db8
151b82860
hex13393ce

20157390 has 96 divisors (see below), whose sum is σ = 59179680. Its totient is φ = 4878720.

The previous prime is 20157383. The next prime is 20157391. The reversal of 20157390 is 9375102.

20157390 is a `hidden beast` number, since 2 + 0 + 1 + 573 + 90 = 666.

It is a super-2 number, since 2×201573902 = 812640743224200, which contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20157391) 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, 32362 + ... + 32978.

It is an arithmetic number, because the mean of its divisors is an integer number (616455).

Almost surely, 220157390 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20157390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29589840).

20157390 is an abundant number, since it is smaller than the sum of its proper divisors (39022290).

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

20157390 is a wasteful number, since it uses less digits than its factorization.

20157390 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 655 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1890, while the sum is 27.

The square root of 20157390 is about 4489.6982081205. The cubic root of 20157390 is about 272.1519389722.

The spelling of 20157390 in words is "twenty million, one hundred fifty-seven thousand, three hundred ninety".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 66 90 99 110 121 135 165 198 242 270 297 330 363 495 594 605 617 726 990 1089 1210 1234 1485 1815 1851 2178 2970 3085 3267 3630 3702 5445 5553 6170 6534 6787 9255 10890 11106 13574 16335 16659 18510 20361 27765 32670 33318 33935 40722 55530 61083 67870 74657 83295 101805 122166 149314 166590 183249 203610 223971 305415 366498 373285 447942 610830 671913 746570 916245 1119855 1343826 1832490 2015739 2239710 3359565 4031478 6719130 10078695 20157390