Search a number
-
+
142919616 = 2637432473
BaseRepresentation
bin10001000010011…
…00011111000000
3100221221001212010
420201030133000
5243041411431
622103132520
73353540160
oct1041143700
9327831763
10142919616
1173746694
123ba44140
13237c0228
1414da45a0
15c831846
hex884c7c0

142919616 has 112 divisors (see below), whose sum is σ = 442390784. Its totient is φ = 39868416.

The previous prime is 142919599. The next prime is 142919639. The reversal of 142919616 is 616919241.

142919616 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (112).

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, 56556 + ... + 59028.

Almost surely, 2142919616 is an apocalyptic number.

142919616 is a gapful number since it is divisible by the number (16) 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 142919616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221195392).

142919616 is an abundant number, since it is smaller than the sum of its proper divisors (299471168).

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

142919616 is a wasteful number, since it uses less digits than its factorization.

142919616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2528 counting only the distinct ones).

The product of its digits is 23328, while the sum is 39.

The square root of 142919616 is about 11954.8992467524. The cubic root of 142919616 is about 522.8341502454.

The spelling of 142919616 in words is "one hundred forty-two million, nine hundred nineteen thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 43 48 56 64 84 86 96 112 129 168 172 192 224 258 301 336 344 448 516 602 672 688 903 1032 1204 1344 1376 1806 2064 2408 2473 2752 3612 4128 4816 4946 7224 7419 8256 9632 9892 14448 14838 17311 19264 19784 28896 29676 34622 39568 51933 57792 59352 69244 79136 103866 106339 118704 138488 158272 207732 212678 237408 276976 319017 415464 425356 474816 553952 638034 744373 830928 850712 1107904 1276068 1488746 1661856 1701424 2233119 2552136 2977492 3323712 3402848 4466238 5104272 5954984 6805696 8932476 10208544 11909968 17864952 20417088 23819936 35729904 47639872 71459808 142919616