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2820720144 = 243115990547
BaseRepresentation
bin1010100000100000…
…1100011000010000
321021120200102121110
42220020030120100
521234101021034
61143521453320
7126620503614
oct25010143020
97246612543
102820720144
11121824a880
126687a1240
1335c503398
141ca899344
1511797dde9
hexa820c610

2820720144 has 80 divisors (see below), whose sum is σ = 8084125440. Its totient is φ = 840266880.

The previous prime is 2820720143. The next prime is 2820720169. The reversal of 2820720144 is 4410270282.

It is not an unprimeable number, because it can be changed into a prime (2820720143) 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, 14122 + ... + 76425.

It is an arithmetic number, because the mean of its divisors is an integer number (101051568).

Almost surely, 22820720144 is an apocalyptic number.

2820720144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2820720144 is an abundant number, since it is smaller than the sum of its proper divisors (5263405296).

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

2820720144 is a wasteful number, since it uses less digits than its factorization.

2820720144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90628 (or 90622 counting only the distinct ones).

The product of its (nonzero) digits is 7168, while the sum is 30.

The square root of 2820720144 is about 53110.4523046076. The cubic root of 2820720144 is about 1412.9278971346.

The spelling of 2820720144 in words is "two billion, eight hundred twenty million, seven hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 59 66 88 118 132 176 177 236 264 354 472 528 649 708 944 1298 1416 1947 2596 2832 3894 5192 7788 10384 15576 31152 90547 181094 271641 362188 543282 724376 996017 1086564 1448752 1992034 2173128 2988051 3984068 4346256 5342273 5976102 7968136 10684546 11952204 15936272 16026819 21369092 23904408 32053638 42738184 47808816 58765003 64107276 85476368 117530006 128214552 176295009 235060012 256429104 352590018 470120024 705180036 940240048 1410360072 2820720144