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142537620 = 223519971289
BaseRepresentation
bin10000111111011…
…11001110010100
3100221012122212010
420133233032110
5242442200440
622051024220
73350356401
oct1037571624
9327178763
10142537620
1173505695
123b89b070
13236b83b4
1414d052a8
15c7a8580
hex87ef394

142537620 has 96 divisors (see below), whose sum is σ = 424771200. Its totient is φ = 35610624.

The previous prime is 142537573. The next prime is 142537621. The reversal of 142537620 is 26735241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142537621) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109936 + ... + 111224.

It is an arithmetic number, because the mean of its divisors is an integer number (4424700).

Almost surely, 2142537620 is an apocalyptic number.

142537620 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 142537620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212385600).

142537620 is an abundant number, since it is smaller than the sum of its proper divisors (282233580).

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

142537620 is a wasteful number, since it uses less digits than its factorization.

142537620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1417 (or 1415 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 30.

The square root of 142537620 is about 11938.9120107320. The cubic root of 142537620 is about 522.3679236997.

The spelling of 142537620 in words is "one hundred forty-two million, five hundred thirty-seven thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 97 114 190 194 228 285 291 380 388 485 570 582 970 1140 1164 1289 1455 1843 1940 2578 2910 3686 3867 5156 5529 5820 6445 7372 7734 9215 11058 12890 15468 18430 19335 22116 24491 25780 27645 36860 38670 48982 55290 73473 77340 97964 110580 122455 125033 146946 244910 250066 293892 367365 375099 489820 500132 625165 734730 750198 1250330 1469460 1500396 1875495 2375627 2500660 3750990 4751254 7126881 7501980 9502508 11878135 14253762 23756270 28507524 35634405 47512540 71268810 142537620