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142607304 = 23347149211
BaseRepresentation
bin10001000000000…
…00001111001000
3100221100012110000
420200000033020
5243001413204
622052323000
73351066510
oct1040001710
9327305400
10142607304
1173552a84
123b913460
1323711028
1414d22840
15c7be039
hex88003c8

142607304 has 160 divisors (see below), whose sum is σ = 461736000. Its totient is φ = 40279680.

The previous prime is 142607303. The next prime is 142607321. The reversal of 142607304 is 403706241.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142607303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 675759 + ... + 675969.

It is an arithmetic number, because the mean of its divisors is an integer number (2885850).

Almost surely, 2142607304 is an apocalyptic number.

142607304 is a gapful number since it is divisible by the number (14) 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 142607304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230868000).

142607304 is an abundant number, since it is smaller than the sum of its proper divisors (319128696).

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

142607304 is a wasteful number, since it uses less digits than its factorization.

142607304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 142607304 is about 11941.8300105135. The cubic root of 142607304 is about 522.4530351627.

The spelling of 142607304 in words is "one hundred forty-two million, six hundred seven thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 81 84 108 126 149 162 168 189 211 216 252 298 324 378 422 447 504 567 596 633 648 756 844 894 1043 1134 1192 1266 1341 1477 1512 1688 1788 1899 2086 2268 2532 2682 2954 3129 3576 3798 4023 4172 4431 4536 5064 5364 5697 5908 6258 7596 8046 8344 8862 9387 10728 11394 11816 12069 12516 13293 15192 16092 17091 17724 18774 22788 24138 25032 26586 28161 31439 32184 34182 35448 37548 39879 45576 48276 53172 56322 62878 68364 75096 79758 84483 94317 96552 106344 112644 119637 125756 136728 159516 168966 188634 220073 225288 239274 251512 282951 319032 337932 377268 440146 478548 565902 660219 675864 754536 848853 880292 957096 1131804 1320438 1697706 1760584 1980657 2263608 2546559 2640876 3395412 3961314 5093118 5281752 5941971 6790824 7922628 10186236 11883942 15845256 17825913 20372472 23767884 35651826 47535768 71303652 142607304