Search a number
-
+
142271232 = 283172641
BaseRepresentation
bin10000111101011…
…10001100000000
3100220201010102220
420132232030000
5242410134412
622041211040
73345166635
oct1036561400
9326633386
10142271232
1173343534
123b790a80
132362407c
1414c7618c
15c75468c
hex87ae300

142271232 has 108 divisors (see below), whose sum is σ = 402860136. Its totient is φ = 44564480.

The previous prime is 142271231. The next prime is 142271251. The reversal of 142271232 is 232172241.

It is a super-2 number, since 2×1422712322 = 40482206909595648, which contains 22 as substring.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (142271231) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 221632 + ... + 222272.

Almost surely, 2142271232 is an apocalyptic number.

142271232 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 142271232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201430068).

142271232 is an abundant number, since it is smaller than the sum of its proper divisors (260588904).

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

142271232 is an equidigital number, since it uses as much as digits as its factorization.

142271232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694 (or 663 counting only the distinct ones).

The product of its digits is 1344, while the sum is 24.

The square root of 142271232 is about 11927.7505004087. The cubic root of 142271232 is about 522.0423036428.

The spelling of 142271232 in words is "one hundred forty-two million, two hundred seventy-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 289 384 408 544 578 641 768 816 867 1088 1156 1282 1632 1734 1923 2176 2312 2564 3264 3468 3846 4352 4624 5128 6528 6936 7692 9248 10256 10897 13056 13872 15384 18496 20512 21794 27744 30768 32691 36992 41024 43588 55488 61536 65382 73984 82048 87176 110976 123072 130764 164096 174352 185249 221952 246144 261528 348704 370498 492288 523056 555747 697408 740996 1046112 1111494 1394816 1481992 2092224 2222988 2789632 2963984 4184448 4445976 5927968 8368896 8891952 11855936 17783904 23711872 35567808 47423744 71135616 142271232