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142200352 = 2572233943
BaseRepresentation
bin10000111100111…
…00111000100000
3100220120112012201
420132130320200
5242400402402
622035502544
73344453200
oct1036347040
9326515181
10142200352
11732a5258
123b757a54
13235caa28
1414c58400
15c73d687
hex879ce20

142200352 has 72 divisors (see below), whose sum is σ = 339909696. Its totient is φ = 58278528.

The previous prime is 142200349. The next prime is 142200353. The reversal of 142200352 is 253002241.

142200352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (142200353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34093 + ... + 38035.

It is an arithmetic number, because the mean of its divisors is an integer number (4720968).

Almost surely, 2142200352 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142200352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169954848).

142200352 is an abundant number, since it is smaller than the sum of its proper divisors (197709344).

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

142200352 is a wasteful number, since it uses less digits than its factorization.

142200352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3990 (or 3975 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 142200352 is about 11924.7789078037. The cubic root of 142200352 is about 521.9555948389.

Adding to 142200352 its reverse (253002241), we get a palindrome (395202593).

The spelling of 142200352 in words is "one hundred forty-two million, two hundred thousand, three hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 23 28 32 46 49 56 92 98 112 161 184 196 224 322 368 392 644 736 784 1127 1288 1568 2254 2576 3943 4508 5152 7886 9016 15772 18032 27601 31544 36064 55202 63088 90689 110404 126176 181378 193207 220808 362756 386414 441616 634823 725512 772828 883232 1269646 1451024 1545656 2539292 2902048 3091312 4443761 5078584 6182624 8887522 10157168 17775044 20314336 35550088 71100176 142200352