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142021200 = 24352196229
BaseRepresentation
bin10000111011100…
…01001001010000
3100220020102110110
420131301021100
5242324134300
622032001320
73343105656
oct1035611120
9326212413
10142021200
11731926a2
123b690240
1323567319
1414c0cdd6
15c705550
hex8771250

142021200 has 120 divisors (see below), whose sum is σ = 478962400. Its totient is φ = 35873280.

The previous prime is 142021193. The next prime is 142021211. The reversal of 142021200 is 2120241.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19686 + ... + 25914.

Almost surely, 2142021200 is an apocalyptic number.

142021200 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 142021200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239481200).

142021200 is an abundant number, since it is smaller than the sum of its proper divisors (336941200).

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

142021200 is a wasteful number, since it uses less digits than its factorization.

142021200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6269 (or 6258 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 142021200 is about 11917.2647868544. The cubic root of 142021200 is about 521.7363063857.

Adding to 142021200 its reverse (2120241), we get a palindrome (144141441).

The spelling of 142021200 in words is "one hundred forty-two million, twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 25 30 38 40 48 50 57 60 75 76 80 95 100 114 120 150 152 190 200 228 240 285 300 304 380 400 456 475 570 600 760 912 950 1140 1200 1425 1520 1900 2280 2850 3800 4560 5700 6229 7600 11400 12458 18687 22800 24916 31145 37374 49832 62290 74748 93435 99664 118351 124580 149496 155725 186870 236702 249160 298992 311450 355053 373740 467175 473404 498320 591755 622900 710106 747480 934350 946808 1183510 1245800 1420212 1494960 1775265 1868700 1893616 2367020 2491600 2840424 2958775 3550530 3737400 4734040 5680848 5917550 7101060 7474800 8876325 9468080 11835100 14202120 17752650 23670200 28404240 35505300 47340400 71010600 142021200