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142131400 = 235219113331
BaseRepresentation
bin10000111100011…
…00000011001000
3100220110000121221
420132030003020
5242341201100
622034211424
73344045155
oct1036140310
9326400557
10142131400
1173258474
123b723b74
13235a5528
1414c3b22c
15c72801a
hex878c0c8

142131400 has 96 divisors (see below), whose sum is σ = 351986400. Its totient is φ = 53222400.

The previous prime is 142131397. The next prime is 142131427. The reversal of 142131400 is 4131241.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 429235 + ... + 429565.

It is an arithmetic number, because the mean of its divisors is an integer number (3666525).

Almost surely, 2142131400 is an apocalyptic number.

142131400 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 142131400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175993200).

142131400 is an abundant number, since it is smaller than the sum of its proper divisors (209855000).

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

142131400 is a wasteful number, since it uses less digits than its factorization.

142131400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 479 (or 470 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 142131400 is about 11921.8874344627. The cubic root of 142131400 is about 521.8712169398.

Adding to 142131400 its reverse (4131241), we get a palindrome (146262641).

The spelling of 142131400 in words is "one hundred forty-two million, one hundred thirty-one thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 113 152 190 200 226 331 380 452 475 565 662 760 904 950 1130 1324 1655 1900 2147 2260 2648 2825 3310 3800 4294 4520 5650 6289 6620 8275 8588 10735 11300 12578 13240 16550 17176 21470 22600 25156 31445 33100 37403 42940 50312 53675 62890 66200 74806 85880 107350 125780 149612 157225 187015 214700 251560 299224 314450 374030 429400 628900 710657 748060 935075 1257800 1421314 1496120 1870150 2842628 3553285 3740300 5685256 7106570 7480600 14213140 17766425 28426280 35532850 71065700 142131400