[go: up one dir, main page]

Search a number
-
+
142620264 = 2334972269
BaseRepresentation
bin10001000000000…
…11011001101000
3100221100212020000
420200003121220
5243002322024
622052503000
73351152343
oct1040033150
9327325200
10142620264
1173561796
123b91aa60
1323716bb7
1414d2745a
15c7c2cc9
hex8803668

142620264 has 80 divisors (see below), whose sum is σ = 403764900. Its totient is φ = 47029248.

The previous prime is 142620253. The next prime is 142620271. The reversal of 142620264 is 462026241.

142620264 is a `hidden beast` number, since 14 + 2 + 620 + 26 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 129004164 + 13616100 = 11358^2 + 3690^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 61722 + ... + 63990.

Almost surely, 2142620264 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 142620264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201882450).

142620264 is an abundant number, since it is smaller than the sum of its proper divisors (261144636).

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

142620264 is a wasteful number, since it uses less digits than its factorization.

142620264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2384 (or 2371 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 142620264 is about 11942.3726285860. The cubic root of 142620264 is about 522.4688613419.

It can be divided in two parts, 142620 and 264, that added together give a square (142884 = 3782).

The spelling of 142620264 in words is "one hundred forty-two million, six hundred twenty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 97 108 162 194 216 291 324 388 582 648 776 873 1164 1746 2269 2328 2619 3492 4538 5238 6807 6984 7857 9076 10476 13614 15714 18152 20421 20952 27228 31428 40842 54456 61263 62856 81684 122526 163368 183789 220093 245052 367578 440186 490104 660279 735156 880372 1320558 1470312 1760744 1980837 2641116 3961674 5282232 5942511 7923348 11885022 15846696 17827533 23770044 35655066 47540088 71310132 142620264