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143427360 = 2535436949
BaseRepresentation
bin10001000110010…
…00011100100000
3100222212212100110
420203020130200
5243204133420
622122051320
73361053366
oct1043103440
9328785313
10143427360
1173a6310a
1240049b40
132393a37b
1415097636
15c8d1ee0
hex88c8720

143427360 has 96 divisors (see below), whose sum is σ = 462369600. Its totient is φ = 37352448.

The previous prime is 143427343. The next prime is 143427413. The reversal of 143427360 is 63724341.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 17166 + ... + 24114.

It is an arithmetic number, because the mean of its divisors is an integer number (4816350).

Almost surely, 2143427360 is an apocalyptic number.

143427360 is a gapful number since it is divisible by the number (10) 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 143427360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231184800).

143427360 is an abundant number, since it is smaller than the sum of its proper divisors (318942240).

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

143427360 is a wasteful number, since it uses less digits than its factorization.

143427360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7010 (or 7002 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 30.

The square root of 143427360 is about 11976.1162319009. The cubic root of 143427360 is about 523.4525681591.

The spelling of 143427360 in words is "one hundred forty-three million, four hundred twenty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 43 48 60 80 86 96 120 129 160 172 215 240 258 344 430 480 516 645 688 860 1032 1290 1376 1720 2064 2580 3440 4128 5160 6880 6949 10320 13898 20640 20847 27796 34745 41694 55592 69490 83388 104235 111184 138980 166776 208470 222368 277960 298807 333552 416940 555920 597614 667104 833880 896421 1111840 1195228 1494035 1667760 1792842 2390456 2988070 3335520 3585684 4482105 4780912 5976140 7171368 8964210 9561824 11952280 14342736 17928420 23904560 28685472 35856840 47809120 71713680 143427360