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142055664 = 2437173571
BaseRepresentation
bin10000111011110…
…01100011110000
3100220022011201220
420131321203300
5242331240124
622032425040
73343311312
oct1035714360
9326264656
10142055664
1173206583
123b6a8180
1323579c0a
1414c1b7b2
15c710879
hex87798f0

142055664 has 80 divisors (see below), whose sum is σ = 377904384. Its totient is φ = 45964800.

The previous prime is 142055623. The next prime is 142055687. The reversal of 142055664 is 466550241.

142055664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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, 248499 + ... + 249069.

Almost surely, 2142055664 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 142055664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188952192).

142055664 is an abundant number, since it is smaller than the sum of its proper divisors (235848720).

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

142055664 is a wasteful number, since it uses less digits than its factorization.

142055664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 726 (or 720 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 33.

The square root of 142055664 is about 11918.7106685245. The cubic root of 142055664 is about 521.7785058737.

The spelling of 142055664 in words is "one hundred forty-two million, fifty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 73 142 146 213 219 284 292 426 438 568 571 584 852 876 1136 1142 1168 1704 1713 1752 2284 3408 3426 3504 4568 5183 6852 9136 10366 13704 15549 20732 27408 31098 40541 41464 41683 62196 81082 82928 83366 121623 124392 125049 162164 166732 243246 248784 250098 324328 333464 486492 500196 648656 666928 972984 1000392 1945968 2000784 2959493 5918986 8878479 11837972 17756958 23675944 35513916 47351888 71027832 142055664