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142010000 = 2454111291
BaseRepresentation
bin10000111011011…
…10011010010000
3100220012212002122
420131232122100
5242323310000
622031433412
73343031216
oct1035563220
9326185078
10142010000
1173185240
123b685868
13235621b2
1414c08cb6
15c702085
hex876e690

142010000 has 100 divisors (see below), whose sum is σ = 375367344. Its totient is φ = 51600000.

The previous prime is 142009997. The next prime is 142010017. The reversal of 142010000 is 10241.

It is a tau number, because it is divible by the number of its divisors (100).

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a self number, because there is not a number n which added to its sum of digits gives 142010000.

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 19 ways as a sum of consecutive naturals, for example, 109355 + ... + 110645.

Almost surely, 2142010000 is an apocalyptic number.

142010000 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 142010000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187683672).

142010000 is an abundant number, since it is smaller than the sum of its proper divisors (233357344).

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

142010000 is a wasteful number, since it uses less digits than its factorization.

142010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1330 (or 1309 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 8.

The square root of 142010000 is about 11916.7948711052. The cubic root of 142010000 is about 521.7225910619.

Adding to 142010000 its reverse (10241), we get a palindrome (142020241).

The spelling of 142010000 in words is "one hundred forty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 625 880 1000 1100 1250 1291 1375 2000 2200 2500 2582 2750 4400 5000 5164 5500 6455 6875 10000 10328 11000 12910 13750 14201 20656 22000 25820 27500 28402 32275 51640 55000 56804 64550 71005 103280 110000 113608 129100 142010 161375 227216 258200 284020 322750 355025 516400 568040 645500 710050 806875 1136080 1291000 1420100 1613750 1775125 2582000 2840200 3227500 3550250 5680400 6455000 7100500 8875625 12910000 14201000 17751250 28402000 35502500 71005000 142010000