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142200520 = 235711137337
BaseRepresentation
bin10000111100111…
…00111011001000
3100220120112102221
420132130323020
5242400404040
622035503424
73344453530
oct1036347310
9326515387
10142200520
11732a53a0
123b757b74
13235cab27
1414c584c0
15c73d74a
hex879cec8

142200520 has 128 divisors (see below), whose sum is σ = 403004160. Its totient is φ = 43868160.

The previous prime is 142200511. The next prime is 142200523. The reversal of 142200520 is 25002241.

142200520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 142200494 and 142200503.

It is not an unprimeable number, because it can be changed into a prime (142200523) 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, 421792 + ... + 422128.

It is an arithmetic number, because the mean of its divisors is an integer number (3148470).

Almost surely, 2142200520 is an apocalyptic number.

142200520 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 142200520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201502080).

142200520 is an abundant number, since it is smaller than the sum of its proper divisors (260803640).

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

142200520 is a wasteful number, since it uses less digits than its factorization.

142200520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 503 (or 499 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 142200520 is about 11924.7859519574. The cubic root of 142200520 is about 521.9558003904.

Adding to 142200520 its reverse (25002241), we get a palindrome (167202761).

The spelling of 142200520 in words is "one hundred forty-two million, two hundred thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 110 137 140 154 220 274 280 308 337 385 440 548 616 674 685 770 959 1096 1348 1370 1507 1540 1685 1918 2359 2696 2740 3014 3080 3370 3707 3836 4718 4795 5480 6028 6740 7414 7535 7672 9436 9590 10549 11795 12056 13480 14828 15070 18535 18872 19180 21098 23590 25949 29656 30140 37070 38360 42196 46169 47180 51898 52745 60280 74140 84392 92338 94360 103796 105490 129745 148280 184676 207592 210980 230845 259490 323183 369352 421960 461690 507859 518980 646366 923380 1015718 1037960 1292732 1615915 1846760 2031436 2539295 2585464 3231830 3555013 4062872 5078590 6463660 7110026 10157180 12927320 14220052 17775065 20314360 28440104 35550130 71100260 142200520