Search a number
-
+
142670784 = 2631275851
BaseRepresentation
bin10001000000011…
…11101111000000
3100221110102112010
420200033233000
5243010431114
622053532520
73351452544
oct1040175700
9327412463
10142670784
1173596743
123b944140
1323733ba9
1414d3ba24
15c7d2c59
hex880fbc0

142670784 has 56 divisors (see below), whose sum is σ = 380520448. Its totient is φ = 47174400.

The previous prime is 142670747. The next prime is 142670821. The reversal of 142670784 is 487076241.

It is an interprime number because it is at equal distance from previous prime (142670747) and next prime (142670821).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 21459 + ... + 27309.

It is an arithmetic number, because the mean of its divisors is an integer number (6795008).

Almost surely, 2142670784 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 142670784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190260224).

142670784 is an abundant number, since it is smaller than the sum of its proper divisors (237849664).

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

142670784 is a wasteful number, since it uses less digits than its factorization.

142670784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5993 (or 5983 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 39.

The square root of 142670784 is about 11944.4875988885. The cubic root of 142670784 is about 522.5305449814.

The spelling of 142670784 in words is "one hundred forty-two million, six hundred seventy thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 762 1016 1524 2032 3048 4064 5851 6096 8128 11702 12192 17553 23404 24384 35106 46808 70212 93616 140424 187232 280848 374464 561696 743077 1123392 1486154 2229231 2972308 4458462 5944616 8916924 11889232 17833848 23778464 35667696 47556928 71335392 142670784