Search a number
-
+
142272456 = 233171918353
BaseRepresentation
bin10000111101011…
…10011111001000
3100220201012010020
420132232133020
5242410204311
622041220440
73345203334
oct1036563710
9326635106
10142272456
1173344447
123b791720
13236247b1
1414c767c4
15c754c06
hex87ae7c8

142272456 has 64 divisors (see below), whose sum is σ = 396446400. Its totient is φ = 42283008.

The previous prime is 142272451. The next prime is 142272467. The reversal of 142272456 is 654272241.

It is not an unprimeable number, because it can be changed into a prime (142272451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1425 + ... + 16928.

It is an arithmetic number, because the mean of its divisors is an integer number (6194475).

Almost surely, 2142272456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142272456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198223200).

142272456 is an abundant number, since it is smaller than the sum of its proper divisors (254173944).

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

142272456 is a wasteful number, since it uses less digits than its factorization.

142272456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18398 (or 18394 counting only the distinct ones).

The product of its digits is 26880, while the sum is 33.

The square root of 142272456 is about 11927.8018092187. The cubic root of 142272456 is about 522.0438007315.

The spelling of 142272456 in words is "one hundred forty-two million, two hundred seventy-two thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 17 19 24 34 38 51 57 68 76 102 114 136 152 204 228 323 408 456 646 969 1292 1938 2584 3876 7752 18353 36706 55059 73412 110118 146824 220236 312001 348707 440472 624002 697414 936003 1046121 1248004 1394828 1872006 2092242 2496008 2789656 3744012 4184484 5928019 7488024 8368968 11856038 17784057 23712076 35568114 47424152 71136228 142272456