Search a number
-
+
2020016832 = 26328137441
BaseRepresentation
bin111100001100111…
…0000001011000000
312012210000111011020
41320121300023000
513114111014312
6532235545440
7101025600621
oct17031601300
95183014136
102020016832
119472795a9
124845bb280
13262665342
141523c9a48
15bc51878c
hex786702c0

2020016832 has 56 divisors (see below), whose sum is σ = 5363791152. Its totient is φ = 670924800.

The previous prime is 2020016827. The next prime is 2020016879. The reversal of 2020016832 is 2386100202.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35232 + ... + 72672.

Almost surely, 22020016832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2020016832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2681895576).

2020016832 is an abundant number, since it is smaller than the sum of its proper divisors (3343774320).

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

2020016832 is a wasteful number, since it uses less digits than its factorization.

2020016832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37737 (or 37727 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2020016832 is about 44944.5973616407. The cubic root of 2020016832 is about 1264.1103759833.

The spelling of 2020016832 in words is "two billion, twenty million, sixteen thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 281 562 843 1124 1686 2248 3372 4496 6744 8992 13488 17984 26976 37441 53952 74882 112323 149764 224646 299528 449292 599056 898584 1198112 1797168 2396224 3594336 7188672 10520921 21041842 31562763 42083684 63125526 84167368 126251052 168334736 252502104 336669472 505004208 673338944 1010008416 2020016832