Search a number
-
+
142644960 = 25325175827
BaseRepresentation
bin10001000000010…
…01011011100000
3100221102010002200
420200021123200
5243004114320
622053213200
73351314343
oct1040113340
9327363080
10142644960
11735792a7
123b931200
1323725203
1414d3245a
15c7ca290
hex88096e0

142644960 has 144 divisors (see below), whose sum is σ = 515498256. Its totient is φ = 35794944.

The previous prime is 142644959. The next prime is 142644961. The reversal of 142644960 is 69446241.

142644960 is a `hidden beast` number, since 1 + 4 + 2 + 644 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (142644959) and next prime (142644961).

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×1426449602 = 40695169226803200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142644961) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 21567 + ... + 27393.

It is an arithmetic number, because the mean of its divisors is an integer number (3579849).

Almost surely, 2142644960 is an apocalyptic number.

142644960 is a gapful number since it is divisible by the number (10) 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 142644960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257749128).

142644960 is an abundant number, since it is smaller than the sum of its proper divisors (372853296).

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

142644960 is a wasteful number, since it uses less digits than its factorization.

142644960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5865 (or 5854 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The square root of 142644960 is about 11943.4065492220. The cubic root of 142644960 is about 522.4990163516.

The spelling of 142644960 in words is "one hundred forty-two million, six hundred forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 17 18 20 24 30 32 34 36 40 45 48 51 60 68 72 80 85 90 96 102 120 136 144 153 160 170 180 204 240 255 272 288 306 340 360 408 480 510 544 612 680 720 765 816 1020 1224 1360 1440 1530 1632 2040 2448 2720 3060 4080 4896 5827 6120 8160 11654 12240 17481 23308 24480 29135 34962 46616 52443 58270 69924 87405 93232 99059 104886 116540 139848 174810 186464 198118 209772 233080 262215 279696 297177 349620 396236 419544 466160 495295 524430 559392 594354 699240 792472 839088 891531 932320 990590 1048860 1188708 1398480 1485885 1584944 1678176 1783062 1981180 2097720 2377416 2796960 2971770 3169888 3566124 3962360 4195440 4457655 4754832 5943540 7132248 7924720 8390880 8915310 9509664 11887080 14264496 15849440 17830620 23774160 28528992 35661240 47548320 71322480 142644960