Search a number
-
+
142718880 = 25351915649
BaseRepresentation
bin10001000000110…
…11011110100000
3100221112212111110
420200123132200
5243014001010
622054543320
73352043013
oct1040333640
9327485443
10142718880
1173619897
123b967b40
132374ca55
1414d5137a
15c7e2120
hex881b7a0

142718880 has 96 divisors (see below), whose sum is σ = 473256000. Its totient is φ = 36052992.

The previous prime is 142718857. The next prime is 142718897. The reversal of 142718880 is 88817241.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296 + ... + 16944.

It is an arithmetic number, because the mean of its divisors is an integer number (4929750).

Almost surely, 2142718880 is an apocalyptic number.

142718880 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 142718880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236628000).

142718880 is an abundant number, since it is smaller than the sum of its proper divisors (330537120).

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

142718880 is a wasteful number, since it uses less digits than its factorization.

142718880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15686 (or 15678 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 39.

The square root of 142718880 is about 11946.5007428954. The cubic root of 142718880 is about 522.5892554496.

The spelling of 142718880 in words is "one hundred forty-two million, seven hundred eighteen thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 32 38 40 48 57 60 76 80 95 96 114 120 152 160 190 228 240 285 304 380 456 480 570 608 760 912 1140 1520 1824 2280 3040 4560 9120 15649 31298 46947 62596 78245 93894 125192 156490 187788 234735 250384 297331 312980 375576 469470 500768 594662 625960 751152 891993 938940 1189324 1251920 1486655 1502304 1783986 1877880 2378648 2503840 2973310 3567972 3755760 4459965 4757296 5946620 7135944 7511520 8919930 9514592 11893240 14271888 17839860 23786480 28543776 35679720 47572960 71359440 142718880