Search a number
-
+
142274496 = 26371317479
BaseRepresentation
bin10000111101011…
…10111111000000
3100220201021220210
420132232333000
5242410240441
622041234120
73345212310
oct1036567700
9326637823
10142274496
1173345a31
123b792940
13236256c0
1414c77440
15c755616
hex87aefc0

142274496 has 224 divisors, whose sum is σ = 491581440. Its totient is φ = 35241984.

The previous prime is 142274477. The next prime is 142274521. The reversal of 142274496 is 694472241.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 296785 + ... + 297263.

It is an arithmetic number, because the mean of its divisors is an integer number (2194560).

Almost surely, 2142274496 is an apocalyptic number.

142274496 is a gapful number since it is divisible by the number (16) 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 142274496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245790720).

142274496 is an abundant number, since it is smaller than the sum of its proper divisors (349306944).

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

142274496 is a wasteful number, since it uses less digits than its factorization.

142274496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 531 (or 521 counting only the distinct ones).

The product of its digits is 96768, while the sum is 39.

The square root of 142274496 is about 11927.8873234115. The cubic root of 142274496 is about 522.0462958602.

The spelling of 142274496 in words is "one hundred forty-two million, two hundred seventy-four thousand, four hundred ninety-six".