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142455984 = 24311614423
BaseRepresentation
bin10000111110110…
…11010010110000
3100221001111212120
420133123102300
5242432042414
622045154240
73346566366
oct1037332260
9327044776
10142455984
117345a320
123b85b980
132368a1a8
1414cc3636
15c78e2a9
hex87db4b0

142455984 has 80 divisors (see below), whose sum is σ = 408140544. Its totient is φ = 42451200.

The previous prime is 142455979. The next prime is 142456021. The reversal of 142455984 is 489554241.

142455984 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 29997 + ... + 34419.

Almost surely, 2142455984 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 142455984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204070272).

142455984 is an abundant number, since it is smaller than the sum of its proper divisors (265684560).

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

142455984 is a wasteful number, since it uses less digits than its factorization.

142455984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4506 (or 4500 counting only the distinct ones).

The product of its digits is 230400, while the sum is 42.

The square root of 142455984 is about 11935.4926165617. The cubic root of 142455984 is about 522.2681788706.

The spelling of 142455984 in words is "one hundred forty-two million, four hundred fifty-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 61 66 88 122 132 176 183 244 264 366 488 528 671 732 976 1342 1464 2013 2684 2928 4026 4423 5368 8052 8846 10736 13269 16104 17692 26538 32208 35384 48653 53076 70768 97306 106152 145959 194612 212304 269803 291918 389224 539606 583836 778448 809409 1079212 1167672 1618818 2158424 2335344 2967833 3237636 4316848 5935666 6475272 8903499 11871332 12950544 17806998 23742664 35613996 47485328 71227992 142455984