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142280040 = 233571071583
BaseRepresentation
bin10000111101100…
…00010101101000
3100220201120112010
420132300111220
5242410430130
622041315520
73345234420
oct1036602550
9326646463
10142280040
117334a111
123b795ba0
1323628096
1414c79480
15c7570b0
hex87b0568

142280040 has 128 divisors (see below), whose sum is σ = 492687360. Its totient is φ = 32196864.

The previous prime is 142280029. The next prime is 142280053. The reversal of 142280040 is 40082241.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 142279989 and 142280016.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89089 + ... + 90671.

It is an arithmetic number, because the mean of its divisors is an integer number (3849120).

Almost surely, 2142280040 is an apocalyptic number.

142280040 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 142280040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246343680).

142280040 is an abundant number, since it is smaller than the sum of its proper divisors (350407320).

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

142280040 is a wasteful number, since it uses less digits than its factorization.

142280040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1711 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 142280040 is about 11928.1197177091. The cubic root of 142280040 is about 522.0530766188.

The spelling of 142280040 in words is "one hundred forty-two million, two hundred eighty thousand, forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 107 120 140 168 210 214 280 321 420 428 535 642 749 840 856 1070 1284 1498 1583 1605 2140 2247 2568 2996 3166 3210 3745 4280 4494 4749 5992 6332 6420 7490 7915 8988 9498 11081 11235 12664 12840 14980 15830 17976 18996 22162 22470 23745 29960 31660 33243 37992 44324 44940 47490 55405 63320 66486 88648 89880 94980 110810 132972 166215 169381 189960 221620 265944 332430 338762 443240 508143 664860 677524 846905 1016286 1185667 1329720 1355048 1693810 2032572 2371334 2540715 3387620 3557001 4065144 4742668 5081430 5928335 6775240 7114002 9485336 10162860 11856670 14228004 17785005 20325720 23713340 28456008 35570010 47426680 71140020 142280040