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20930160 = 2435372357
BaseRepresentation
bin100111111010…
…1111001110000
31110101100210010
41033311321300
520324231120
62024334520
7342621606
oct117657160
943340703
1020930160
11108a6159
127014440
13444a914
142acb876
151c867e0
hex13f5e70

20930160 has 80 divisors (see below), whose sum is σ = 66665376. Its totient is φ = 5428224.

The previous prime is 20930159. The next prime is 20930167. The reversal of 20930160 is 6103902.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20930167) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7702 + ... + 10058.

Almost surely, 220930160 is an apocalyptic number.

20930160 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 20930160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33332688).

20930160 is an abundant number, since it is smaller than the sum of its proper divisors (45735216).

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

20930160 is a wasteful number, since it uses less digits than its factorization.

20930160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2410 (or 2404 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

The square root of 20930160 is about 4574.9491800456. The cubic root of 20930160 is about 275.5862315061.

The spelling of 20930160 in words is "twenty million, nine hundred thirty thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 37 40 48 60 74 80 111 120 148 185 222 240 296 370 444 555 592 740 888 1110 1480 1776 2220 2357 2960 4440 4714 7071 8880 9428 11785 14142 18856 23570 28284 35355 37712 47140 56568 70710 87209 94280 113136 141420 174418 188560 261627 282840 348836 436045 523254 565680 697672 872090 1046508 1308135 1395344 1744180 2093016 2616270 3488360 4186032 5232540 6976720 10465080 20930160