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142375520 = 2557235527
BaseRepresentation
bin10000111110001…
…11101001100000
3100220220102111102
420133013221200
5242422004040
622043333532
73346112660
oct1037075140
9326812442
10142375520
1173404921
123b8212a8
132365c691
1414ca21a0
15c775515
hex87c7a60

142375520 has 96 divisors (see below), whose sum is σ = 401200128. Its totient is φ = 46683648.

The previous prime is 142375501. The next prime is 142375523. The reversal of 142375520 is 25573241.

It is a happy number.

142375520 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142375523) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22997 + ... + 28523.

It is an arithmetic number, because the mean of its divisors is an integer number (4179168).

Almost surely, 2142375520 is an apocalyptic number.

142375520 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 142375520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200600064).

142375520 is an abundant number, since it is smaller than the sum of its proper divisors (258824608).

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

142375520 is a wasteful number, since it uses less digits than its factorization.

142375520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5572 (or 5564 counting only the distinct ones).

The product of its (nonzero) digits is 8400, while the sum is 29.

The square root of 142375520 is about 11932.1213537242. The cubic root of 142375520 is about 522.1698287225.

The spelling of 142375520 in words is "one hundred forty-two million, three hundred seventy-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 5527 6440 11054 12880 22108 25760 27635 38689 44216 55270 77378 88432 110540 127121 154756 176864 193445 221080 254242 309512 386890 442160 508484 619024 635605 773780 884320 889847 1016968 1238048 1271210 1547560 1779694 2033936 2542420 3095120 3559388 4067872 4449235 5084840 6190240 7118776 8898470 10169680 14237552 17796940 20339360 28475104 35593880 71187760 142375520