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142022320 = 24511199811
BaseRepresentation
bin10000111011100…
…01011010110000
3100220020110222221
420131301122300
5242324203240
622032010424
73343112146
oct1035613260
9326213887
10142022320
1173193520
123b690a14
132356799b
1414c0d596
15c705a4a
hex87716b0

142022320 has 80 divisors (see below), whose sum is σ = 362476800. Its totient is φ = 51321600.

The previous prime is 142022299. The next prime is 142022333. The reversal of 142022320 is 23220241.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a plaindrome in base 13.

It is a junction number, because it is equal to n+sod(n) for n = 142022294 and 142022303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174715 + ... + 175525.

It is an arithmetic number, because the mean of its divisors is an integer number (4530960).

Almost surely, 2142022320 is an apocalyptic number.

142022320 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 142022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181238400).

142022320 is an abundant number, since it is smaller than the sum of its proper divisors (220454480).

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

142022320 is a wasteful number, since it uses less digits than its factorization.

142022320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1034 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

The square root of 142022320 is about 11917.3117774102. The cubic root of 142022320 is about 521.7376778784.

Adding to 142022320 its reverse (23220241), we get a palindrome (165242561).

The spelling of 142022320 in words is "one hundred forty-two million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 199 220 398 440 796 811 880 995 1592 1622 1990 2189 3184 3244 3980 4055 4378 6488 7960 8110 8756 8921 10945 12976 15920 16220 17512 17842 21890 32440 35024 35684 43780 44605 64880 71368 87560 89210 142736 161389 175120 178420 322778 356840 645556 713680 806945 1291112 1613890 1775279 2582224 3227780 3550558 6455560 7101116 8876395 12911120 14202232 17752790 28404464 35505580 71011160 142022320