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1144706820 = 2235131145637
BaseRepresentation
bin100010000111010…
…1101011100000100
32221202222010112220
41010032231130010
54321021104240
6305331012340
740236563445
oct10416553404
92852863486
101144706820
115381801a4
1227b43a0b0
13153204a1a
14ac0592cc
156a7675d0
hex443ad704

1144706820 has 48 divisors (see below), whose sum is σ = 3229668288. Its totient is φ = 302922880.

The previous prime is 1144706809. The next prime is 1144706833. The reversal of 1144706820 is 286074411.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64959 + ... + 80678.

It is an arithmetic number, because the mean of its divisors is an integer number (67284756).

Almost surely, 21144706820 is an apocalyptic number.

1144706820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144706820 is an abundant number, since it is smaller than the sum of its proper divisors (2084961468).

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

1144706820 is a wasteful number, since it uses less digits than its factorization.

1144706820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145780 (or 145778 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 33.

The square root of 1144706820 is about 33833.5162228226. The cubic root of 1144706820 is about 1046.0796576377.

The spelling of 1144706820 in words is "one billion, one hundred forty-four million, seven hundred six thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 131 262 393 524 655 786 1310 1572 1965 2620 3930 7860 145637 291274 436911 582548 728185 873822 1456370 1747644 2184555 2912740 4369110 8738220 19078447 38156894 57235341 76313788 95392235 114470682 190784470 228941364 286176705 381568940 572353410 1144706820