Search a number
-
+
142919680 = 211517821
BaseRepresentation
bin10001000010011…
…00100000000000
3100221221001221111
420201030200000
5243041412210
622103133104
73353540311
oct1041144000
9327831844
10142919680
1173746742
123ba44194
13237c0277
1414da4608
15c83188a
hex884c800

142919680 has 96 divisors (see below), whose sum is σ = 363537720. Its totient is φ = 53739520.

The previous prime is 142919657. The next prime is 142919683. The reversal of 142919680 is 86919241.

It can be written as a sum of positive squares in 4 ways, for example, as 117679104 + 25240576 = 10848^2 + 5024^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142919683) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 173670 + ... + 174490.

Almost surely, 2142919680 is an apocalyptic number.

142919680 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 142919680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181768860).

142919680 is an abundant number, since it is smaller than the sum of its proper divisors (220618040).

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

142919680 is an equidigital number, since it uses as much as digits as its factorization.

142919680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 865 (or 845 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 40.

The square root of 142919680 is about 11954.9019234789. The cubic root of 142919680 is about 522.8342282878.

The spelling of 142919680 in words is "one hundred forty-two million, nine hundred nineteen thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 821 1024 1088 1280 1360 1642 2048 2176 2560 2720 3284 4105 4352 5120 5440 6568 8210 8704 10240 10880 13136 13957 16420 17408 21760 26272 27914 32840 34816 43520 52544 55828 65680 69785 87040 105088 111656 131360 139570 174080 210176 223312 262720 279140 420352 446624 525440 558280 840704 893248 1050880 1116560 1681408 1786496 2101760 2233120 3572992 4203520 4466240 7145984 8407040 8932480 14291968 17864960 28583936 35729920 71459840 142919680