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142256928 = 253111071259
BaseRepresentation
bin10000111101010…
…10101100100000
3100220200101211010
420132222230200
5242404210203
622041020520
73345110142
oct1036525440
9326611733
10142256928
1173333810
123b784740
132361a6c8
1414c70c92
15c750303
hex87aab20

142256928 has 96 divisors (see below), whose sum is σ = 411505920. Its totient is φ = 42671360.

The previous prime is 142256927. The next prime is 142256957. The reversal of 142256928 is 829652241.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (142256927) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 112363 + ... + 113621.

It is an arithmetic number, because the mean of its divisors is an integer number (4286520).

Almost surely, 2142256928 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142256928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205752960).

142256928 is an abundant number, since it is smaller than the sum of its proper divisors (269248992).

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

142256928 is a wasteful number, since it uses less digits than its factorization.

142256928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1390 (or 1382 counting only the distinct ones).

The product of its digits is 69120, while the sum is 39.

The square root of 142256928 is about 11927.1508752090. The cubic root of 142256928 is about 522.0248076171.

The spelling of 142256928 in words is "one hundred forty-two million, two hundred fifty-six thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 66 88 96 107 132 176 214 264 321 352 428 528 642 856 1056 1177 1259 1284 1712 2354 2518 2568 3424 3531 3777 4708 5036 5136 7062 7554 9416 10072 10272 13849 14124 15108 18832 20144 27698 28248 30216 37664 40288 41547 55396 56496 60432 83094 110792 112992 120864 134713 166188 221584 269426 332376 404139 443168 538852 664752 808278 1077704 1329504 1481843 1616556 2155408 2963686 3233112 4310816 4445529 5927372 6466224 8891058 11854744 12932448 17782116 23709488 35564232 47418976 71128464 142256928