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142728192 = 2103217911
BaseRepresentation
bin10001000000111…
…01110000000000
3100221120100021100
420200131300000
5243014300232
622055054400
73352112115
oct1040356000
9327510240
10142728192
1173625892
123b971400
1323754069
1414d5490c
15c7e4c7c
hex881dc00

142728192 has 132 divisors (see below), whose sum is σ = 436846176. Its totient is φ = 44728320.

The previous prime is 142728191. The next prime is 142728199. The reversal of 142728192 is 291827241.

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 (142728191) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 156217 + ... + 157127.

Almost surely, 2142728192 is an apocalyptic number.

142728192 is a gapful number since it is divisible by the number (12) 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 142728192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218423088).

142728192 is an abundant number, since it is smaller than the sum of its proper divisors (294117984).

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

142728192 is a wasteful number, since it uses less digits than its factorization.

142728192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 933 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

The square root of 142728192 is about 11946.8904740941. The cubic root of 142728192 is about 522.6006210220.

The spelling of 142728192 in words is "one hundred forty-two million, seven hundred twenty-eight thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 306 384 408 512 544 576 612 768 816 911 1024 1088 1152 1224 1536 1632 1822 2176 2304 2448 2733 3072 3264 3644 4352 4608 4896 5466 6528 7288 8199 8704 9216 9792 10932 13056 14576 15487 16398 17408 19584 21864 26112 29152 30974 32796 39168 43728 46461 52224 58304 61948 65592 78336 87456 92922 116608 123896 131184 139383 156672 174912 185844 233216 247792 262368 278766 349824 371688 466432 495584 524736 557532 699648 743376 932864 991168 1049472 1115064 1399296 1486752 1982336 2098944 2230128 2798592 2973504 3964672 4197888 4460256 5947008 7929344 8395776 8920512 11894016 15858688 17841024 23788032 35682048 47576064 71364096 142728192