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142202520 = 23335353373
BaseRepresentation
bin10000111100111…
…01011010011000
3100220120122012000
420132131122120
5242400440040
622035521000
73344462415
oct1036353230
9326518160
10142202520
11732a6949
123b759160
13235cba05
1414c5910c
15c73e130
hex879d698

142202520 has 128 divisors (see below), whose sum is σ = 476625600. Its totient is φ = 37711872.

The previous prime is 142202519. The next prime is 142202527. The reversal of 142202520 is 25202241.

142202520 is a `hidden beast` number, since 142 + 2 + 0 + 2 + 520 = 666.

142202520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 142202493 and 142202502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142202527) 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, 381054 + ... + 381426.

Almost surely, 2142202520 is an apocalyptic number.

142202520 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 142202520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238312800).

142202520 is an abundant number, since it is smaller than the sum of its proper divisors (334423080).

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

142202520 is a wasteful number, since it uses less digits than its factorization.

142202520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 736 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 142202520 is about 11924.8698106101. The cubic root of 142202520 is about 521.9582474202.

Adding to 142202520 its reverse (25202241), we get a palindrome (167404761).

The spelling of 142202520 in words is "one hundred forty-two million, two hundred two thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 353 360 373 540 706 746 1059 1080 1119 1412 1492 1765 1865 2118 2238 2824 2984 3177 3357 3530 3730 4236 4476 5295 5595 6354 6714 7060 7460 8472 8952 9531 10071 10590 11190 12708 13428 14120 14920 15885 16785 19062 20142 21180 22380 25416 26856 31770 33570 38124 40284 42360 44760 47655 50355 63540 67140 76248 80568 95310 100710 127080 131669 134280 190620 201420 263338 381240 395007 402840 526676 658345 790014 1053352 1185021 1316690 1580028 1975035 2370042 2633380 3160056 3555063 3950070 4740084 5266760 5925105 7110126 7900140 9480168 11850210 14220252 15800280 17775315 23700420 28440504 35550630 47400840 71101260 142202520