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142305320 = 23529671831
BaseRepresentation
bin10000111101101…
…10100000101000
3100220202212012102
420132312200220
5242412232240
622042032532
73345401213
oct1036664050
9326685172
10142305320
1173367103
123b7a8748
1323636741
1414c8477a
15c75e815
hex87b6828

142305320 has 64 divisors (see below), whose sum is σ = 336355200. Its totient is φ = 54109440.

The previous prime is 142305313. The next prime is 142305337. The reversal of 142305320 is 23503241.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 142305292 and 142305301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 76805 + ... + 78635.

It is an arithmetic number, because the mean of its divisors is an integer number (5255550).

Almost surely, 2142305320 is an apocalyptic number.

142305320 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 142305320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168177600).

142305320 is an abundant number, since it is smaller than the sum of its proper divisors (194049880).

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

142305320 is a wasteful number, since it uses less digits than its factorization.

142305320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1938 (or 1934 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 142305320 is about 11929.1793514894. The cubic root of 142305320 is about 522.0839938630.

Adding to 142305320 its reverse (23503241), we get a palindrome (165808561).

The spelling of 142305320 in words is "one hundred forty-two million, three hundred five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 67 116 134 145 232 268 290 335 536 580 670 1160 1340 1831 1943 2680 3662 3886 7324 7772 9155 9715 14648 15544 18310 19430 36620 38860 53099 73240 77720 106198 122677 212396 245354 265495 424792 490708 530990 613385 981416 1061980 1226770 2123960 2453540 3557633 4907080 7115266 14230532 17788165 28461064 35576330 71152660 142305320