Search a number
-
+
142764864 = 26311232939
BaseRepresentation
bin10001000001001…
…10101101000000
3100221122012120120
420200212231000
5243021433424
622055540240
73352324044
oct1040465500
9327565516
10142764864
11736503a0
123b98a680
1323767968
1414d64024
15c800a79
hex8826b40

142764864 has 112 divisors (see below), whose sum is σ = 430133760. Its totient is φ = 41367040.

The previous prime is 142764847. The next prime is 142764877. The reversal of 142764864 is 468467241.

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, 47107 + ... + 50045.

It is an arithmetic number, because the mean of its divisors is an integer number (3840480).

Almost surely, 2142764864 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 142764864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215066880).

142764864 is an abundant number, since it is smaller than the sum of its proper divisors (287368896).

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

142764864 is a wasteful number, since it uses less digits than its factorization.

142764864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2988 (or 2978 counting only the distinct ones).

The product of its digits is 258048, while the sum is 42.

The square root of 142764864 is about 11948.4251681969. The cubic root of 142764864 is about 522.6453754805.

The spelling of 142764864 in words is "one hundred forty-two million, seven hundred sixty-four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 23 24 32 33 44 46 48 64 66 69 88 92 96 132 138 176 184 192 253 264 276 352 368 506 528 552 704 736 759 1012 1056 1104 1472 1518 2024 2112 2208 2939 3036 4048 4416 5878 6072 8096 8817 11756 12144 16192 17634 23512 24288 32329 35268 47024 48576 64658 67597 70536 94048 96987 129316 135194 141072 188096 193974 202791 258632 270388 282144 387948 405582 517264 540776 564288 743567 775896 811164 1034528 1081552 1487134 1551792 1622328 2069056 2163104 2230701 2974268 3103584 3244656 4326208 4461402 5948536 6207168 6489312 8922804 11897072 12978624 17845608 23794144 35691216 47588288 71382432 142764864