Search a number
-
+
142936320 = 283537223
BaseRepresentation
bin10001000010100…
…00100100000000
3100221221220202210
420201100210000
5243042430240
622103342120
73353636652
oct1041204400
9327856683
10142936320
117375819a
123ba51940
13237c7a07
1414daa6d2
15c836780
hex8850900

142936320 has 72 divisors (see below), whose sum is σ = 456515136. Its totient is φ = 38115328.

The previous prime is 142936309. The next prime is 142936349. The reversal of 142936320 is 23639241.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 14772 + ... + 22451.

It is an arithmetic number, because the mean of its divisors is an integer number (6340488).

Almost surely, 2142936320 is an apocalyptic number.

142936320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

142936320 is an abundant number, since it is smaller than the sum of its proper divisors (313578816).

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

142936320 is an equidigital number, since it uses as much as digits as its factorization.

142936320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37247 (or 37233 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 142936320 is about 11955.5978520524. The cubic root of 142936320 is about 522.8545185281.

The spelling of 142936320 in words is "one hundred forty-two million, nine hundred thirty-six thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 37223 74446 111669 148892 186115 223338 297784 372230 446676 558345 595568 744460 893352 1116690 1191136 1488920 1786704 2233380 2382272 2977840 3573408 4466760 4764544 5955680 7146816 8933520 9529088 11911360 14293632 17867040 23822720 28587264 35734080 47645440 71468160 142936320