Search a number
-
+
20429180 = 22519371453
BaseRepresentation
bin100110111101…
…1100101111100
31102102220120022
41031323211330
520212213210
62005511312
7335434202
oct115734574
942386508
1020429180
1110593822
126a12538
134303895
1429db072
151bd8155
hex137b97c

20429180 has 48 divisors (see below), whose sum is σ = 46411680. Its totient is φ = 7527168.

The previous prime is 20429179. The next prime is 20429191. The reversal of 20429180 is 8192402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13334 + ... + 14786.

It is an arithmetic number, because the mean of its divisors is an integer number (966910).

Almost surely, 220429180 is an apocalyptic number.

20429180 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 20429180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23205840).

20429180 is an abundant number, since it is smaller than the sum of its proper divisors (25982500).

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

20429180 is a wasteful number, since it uses less digits than its factorization.

20429180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1518 (or 1516 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 26.

The square root of 20429180 is about 4519.8650422330. The cubic root of 20429180 is about 273.3696593931.

The spelling of 20429180 in words is "twenty million, four hundred twenty-nine thousand, one hundred eighty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1406 1453 2812 2906 3515 5812 7030 7265 14060 14530 27607 29060 53761 55214 107522 110428 138035 215044 268805 276070 537610 552140 1021459 1075220 2042918 4085836 5107295 10214590 20429180