[go: up one dir, main page]

Search a number
-
+
38812020 = 223513172927
BaseRepresentation
bin1001010000001…
…1100101110100
32201000212002020
42110003211310
534413441040
63503513140
7650616402
oct224034564
981025066
1038812020
111a9aa055
1210bb87b0
13806bbc0
145224472
153619cd0
hex2503974

38812020 has 96 divisors (see below), whose sum is σ = 123959808. Its totient is φ = 8988672.

The previous prime is 38812019. The next prime is 38812021. The reversal of 38812020 is 2021883.

It is an interprime number because it is at equal distance from previous prime (38812019) and next prime (38812021).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38812021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11797 + ... + 14723.

It is an arithmetic number, because the mean of its divisors is an integer number (1291248).

Almost surely, 238812020 is an apocalyptic number.

38812020 is a gapful number since it is divisible by the number (30) 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 38812020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61979904).

38812020 is an abundant number, since it is smaller than the sum of its proper divisors (85147788).

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

38812020 is a wasteful number, since it uses less digits than its factorization.

38812020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2969 (or 2967 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

The square root of 38812020 is about 6229.9293735965. The cubic root of 38812020 is about 338.5754119114.

The spelling of 38812020 in words is "thirty-eight million, eight hundred twelve thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 26 30 34 39 51 52 60 65 68 78 85 102 130 156 170 195 204 221 255 260 340 390 442 510 663 780 884 1020 1105 1326 2210 2652 2927 3315 4420 5854 6630 8781 11708 13260 14635 17562 29270 35124 38051 43905 49759 58540 76102 87810 99518 114153 149277 152204 175620 190255 199036 228306 248795 298554 380510 456612 497590 570765 597108 646867 746385 761020 995180 1141530 1293734 1492770 1940601 2283060 2587468 2985540 3234335 3881202 6468670 7762404 9703005 12937340 19406010 38812020