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142909704 = 23337472011
BaseRepresentation
bin10001000010010…
…10000100001000
3100221220120021000
420201022010020
5243041102304
622103015000
73353466240
oct1041120410
9327816230
10142909704
117373a1a3
123ba3a460
13237b8872
1414da0b20
15c82d939
hex884a108

142909704 has 128 divisors (see below), whose sum is σ = 463564800. Its totient is φ = 39942720.

The previous prime is 142909699. The next prime is 142909717. The reversal of 142909704 is 407909241.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 70059 + ... + 72069.

It is an arithmetic number, because the mean of its divisors is an integer number (3621600).

Almost surely, 2142909704 is an apocalyptic number.

142909704 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 142909704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231782400).

142909704 is an abundant number, since it is smaller than the sum of its proper divisors (320655096).

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

142909704 is a wasteful number, since it uses less digits than its factorization.

142909704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2080 (or 2070 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 142909704 is about 11954.4846814909. The cubic root of 142909704 is about 522.8220631435.

The spelling of 142909704 in words is "one hundred forty-two million, nine hundred nine thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 47 54 56 63 72 84 94 108 126 141 168 188 189 216 252 282 329 376 378 423 504 564 658 756 846 987 1128 1269 1316 1512 1692 1974 2011 2538 2632 2961 3384 3948 4022 5076 5922 6033 7896 8044 8883 10152 11844 12066 14077 16088 17766 18099 23688 24132 28154 35532 36198 42231 48264 54297 56308 71064 72396 84462 94517 108594 112616 126693 144792 168924 189034 217188 253386 283551 337848 378068 380079 434376 506772 567102 661619 756136 760158 850653 1013544 1134204 1323238 1520316 1701306 1984857 2268408 2551959 2646476 3040632 3402612 3969714 5103918 5292952 5954571 6805224 7939428 10207836 11909142 15878856 17863713 20415672 23818284 35727426 47636568 71454852 142909704