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142029384 = 23373773313
BaseRepresentation
bin10000111011100…
…11001001001000
3100220020211200120
420131303021020
5242324420014
622032103240
73343141560
oct1035631110
9326224616
10142029384
1173198862
123b694b20
132356ac73
1414c11da0
15c707ba9
hex8773248

142029384 has 128 divisors (see below), whose sum is σ = 423824640. Its totient is φ = 38817792.

The previous prime is 142029379. The next prime is 142029401. The reversal of 142029384 is 483920241.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 453612 + ... + 453924.

It is an arithmetic number, because the mean of its divisors is an integer number (3311130).

Almost surely, 2142029384 is an apocalyptic number.

142029384 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 142029384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211912320).

142029384 is an abundant number, since it is smaller than the sum of its proper divisors (281795256).

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

142029384 is a wasteful number, since it uses less digits than its factorization.

142029384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 439 (or 435 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 142029384 is about 11917.6081492890. The cubic root of 142029384 is about 521.7463279128.

The spelling of 142029384 in words is "one hundred forty-two million, twenty-nine thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 37 42 56 73 74 84 111 146 148 168 219 222 259 292 296 313 438 444 511 518 584 626 777 876 888 939 1022 1036 1252 1533 1554 1752 1878 2044 2072 2191 2504 2701 3066 3108 3756 4088 4382 5402 6132 6216 6573 7512 8103 8764 10804 11581 12264 13146 16206 17528 18907 21608 22849 23162 26292 32412 34743 37814 45698 46324 52584 56721 64824 68547 69486 75628 81067 91396 92648 113442 137094 138972 151256 159943 162134 182792 226884 243201 274188 277944 319886 324268 453768 479829 486402 548376 639772 648536 845413 959658 972804 1279544 1690826 1919316 1945608 2536239 3381652 3838632 5072478 5917891 6763304 10144956 11835782 17753673 20289912 23671564 35507346 47343128 71014692 142029384