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142483680 = 2532598947
BaseRepresentation
bin10000111111000…
…10000011100000
3100221002220212100
420133202003200
5242433434210
622045530400
73350043213
oct1037420340
9327086770
10142483680
1173479109
123b873a00
1323699991
1414ccd77a
15c7975c0
hex87e20e0

142483680 has 72 divisors (see below), whose sum is σ = 486230472. Its totient is φ = 37995264.

The previous prime is 142483637. The next prime is 142483687. The reversal of 142483680 is 86384241.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142483687) 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 11 ways as a sum of consecutive naturals, for example, 48034 + ... + 50913.

It is an arithmetic number, because the mean of its divisors is an integer number (6753201).

Almost surely, 2142483680 is an apocalyptic number.

142483680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142483680 is an abundant number, since it is smaller than the sum of its proper divisors (343746792).

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

142483680 is a wasteful number, since it uses less digits than its factorization.

142483680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 98968 (or 98957 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 142483680 is about 11936.6527971622. The cubic root of 142483680 is about 522.3020227799.

The spelling of 142483680 in words is "one hundred forty-two million, four hundred eighty-three thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 98947 197894 296841 395788 494735 593682 791576 890523 989470 1187364 1484205 1583152 1781046 1978940 2374728 2968410 3166304 3562092 3957880 4452615 4749456 5936820 7124184 7915760 8905230 9498912 11873640 14248368 15831520 17810460 23747280 28496736 35620920 47494560 71241840 142483680