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142435080 = 233253112763
BaseRepresentation
bin10000111110101…
…10001100001000
3100221000110012100
420133112030020
5242430410310
622044513400
73346451424
oct1037261410
9327013170
10142435080
1173445647
123b84b860
1323680818
1414cb9b84
15c787ec0
hex87d6308

142435080 has 96 divisors (see below), whose sum is σ = 477884160. Its totient is φ = 36754560.

The previous prime is 142435079. The next prime is 142435081. The reversal of 142435080 is 80534241.

It is an interprime number because it is at equal distance from previous prime (142435079) and next prime (142435081).

It is not an unprimeable number, because it can be changed into a prime (142435081) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4779 + ... + 17541.

It is an arithmetic number, because the mean of its divisors is an integer number (4977960).

Almost surely, 2142435080 is an apocalyptic number.

142435080 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 142435080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238942080).

142435080 is an abundant number, since it is smaller than the sum of its proper divisors (335449080).

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

142435080 is a wasteful number, since it uses less digits than its factorization.

142435080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12811 (or 12804 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 142435080 is about 11934.6168769676. The cubic root of 142435080 is about 522.2426317326.

The spelling of 142435080 in words is "one hundred forty-two million, four hundred thirty-five thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 31 36 40 45 60 62 72 90 93 120 124 155 180 186 248 279 310 360 372 465 558 620 744 930 1116 1240 1395 1860 2232 2790 3720 5580 11160 12763 25526 38289 51052 63815 76578 102104 114867 127630 153156 191445 229734 255260 306312 382890 395653 459468 510520 574335 765780 791306 918936 1148670 1186959 1531560 1582612 1978265 2297340 2373918 3165224 3560877 3956530 4594680 4747836 5934795 7121754 7913060 9495672 11869590 14243508 15826120 17804385 23739180 28487016 35608770 47478360 71217540 142435080