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142769000 = 23531112979
BaseRepresentation
bin10001000001001…
…11101101101000
3100221122102020202
420200213231220
5243022102000
622100011332
73352342103
oct1040475550
9327572222
10142769000
1173653510
123b990b48
13237697ca
1414d6573a
15c801dd5
hex8827b68

142769000 has 64 divisors (see below), whose sum is σ = 364478400. Its totient is φ = 51912000.

The previous prime is 142768993. The next prime is 142769057. The reversal of 142769000 is 967241.

It is a super-2 number, since 2×1427690002 = 40765974722000000, which contains 22 as substring.

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, 4511 + ... + 17489.

It is an arithmetic number, because the mean of its divisors is an integer number (5694975).

Almost surely, 2142769000 is an apocalyptic number.

142769000 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 142769000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182239200).

142769000 is an abundant number, since it is smaller than the sum of its proper divisors (221709400).

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

142769000 is a wasteful number, since it uses less digits than its factorization.

142769000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13011 (or 12997 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 29.

The square root of 142769000 is about 11948.5982441456. The cubic root of 142769000 is about 522.6504225683.

The spelling of 142769000 in words is "one hundred forty-two million, seven hundred sixty-nine thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 12979 25958 51916 64895 103832 129790 142769 259580 285538 324475 519160 571076 648950 713845 1142152 1297900 1427690 1622375 2595800 2855380 3244750 3569225 5710760 6489500 7138450 12979000 14276900 17846125 28553800 35692250 71384500 142769000