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142095520 = 2557172439
BaseRepresentation
bin10000111100000…
…11010010100000
3100220101012102001
420132003102200
5242334024040
622033333344
73343535440
oct1036032240
9326335361
10142095520
1173233516
123b707254
13235920b8
1414c2c120
15c71c59a
hex87834a0

142095520 has 144 divisors (see below), whose sum is σ = 408481920. Its totient is φ = 45748224.

The previous prime is 142095517. The next prime is 142095529. The reversal of 142095520 is 25590241.

It is a super-2 number, since 2×1420955202 = 40382273608140800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (142095529) 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, 323461 + ... + 323899.

It is an arithmetic number, because the mean of its divisors is an integer number (2836680).

Almost surely, 2142095520 is an apocalyptic number.

142095520 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 142095520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204240960).

142095520 is an abundant number, since it is smaller than the sum of its proper divisors (266386400).

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

142095520 is a wasteful number, since it uses less digits than its factorization.

142095520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 142095520 is about 11920.3825441971. The cubic root of 142095520 is about 521.8272990931.

The spelling of 142095520 in words is "one hundred forty-two million, ninety-five thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 32 34 35 40 56 68 70 80 85 112 119 136 140 160 170 224 238 272 280 289 340 439 476 544 560 578 595 680 878 952 1120 1156 1190 1360 1445 1756 1904 2023 2195 2312 2380 2720 2890 3073 3512 3808 4046 4390 4624 4760 5780 6146 7024 7463 8092 8780 9248 9520 10115 11560 12292 14048 14926 15365 16184 17560 19040 20230 23120 24584 29852 30730 32368 35120 37315 40460 46240 49168 52241 59704 61460 64736 70240 74630 80920 98336 104482 119408 122920 126871 149260 161840 208964 238816 245840 253742 261205 298520 323680 417928 491680 507484 522410 597040 634355 835856 888097 1014968 1044820 1194080 1268710 1671712 1776194 2029936 2089640 2537420 3552388 4059872 4179280 4440485 5074840 7104776 8358560 8880970 10149680 14209552 17761940 20299360 28419104 35523880 71047760 142095520