[go: up one dir, main page]

Search a number
-
+
142639872 = 283792351
BaseRepresentation
bin10001000000010…
…00001100000000
3100221101212010020
420200020030000
5243003433442
622053133440
73351263454
oct1040101400
9327355106
10142639872
11735754a1
123b92a280
1323722abb
1414d30664
15c7c89ec
hex8808300

142639872 has 72 divisors (see below), whose sum is σ = 384599040. Its totient is φ = 46924800.

The previous prime is 142639867. The next prime is 142639927. The reversal of 142639872 is 278936241.

It is a super-2 number, since 2×1426398722 = 40692266168352768, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59497 + ... + 61847.

Almost surely, 2142639872 is an apocalyptic number.

142639872 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 142639872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192299520).

142639872 is an abundant number, since it is smaller than the sum of its proper divisors (241959168).

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

142639872 is an equidigital number, since it uses as much as digits as its factorization.

142639872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2435 counting only the distinct ones).

The product of its digits is 145152, while the sum is 42.

The square root of 142639872 is about 11943.1935427674. The cubic root of 142639872 is about 522.4928039423.

The spelling of 142639872 in words is "one hundred forty-two million, six hundred thirty-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 79 96 128 158 192 237 256 316 384 474 632 768 948 1264 1896 2351 2528 3792 4702 5056 7053 7584 9404 10112 14106 15168 18808 20224 28212 30336 37616 56424 60672 75232 112848 150464 185729 225696 300928 371458 451392 557187 601856 742916 902784 1114374 1485832 1805568 2228748 2971664 4457496 5943328 8914992 11886656 17829984 23773312 35659968 47546624 71319936 142639872