Search a number
-
+
142964416 = 267319117
BaseRepresentation
bin10001000010101…
…11011011000000
3100222000100022101
420201113123000
5243044330131
622104120144
73354114610
oct1041273300
9328010271
10142964416
1173777311
123ba66054
132380773a
1414db6a40
15c83ec61
hex88576c0

142964416 has 28 divisors (see below), whose sum is σ = 324223888. Its totient is φ = 61270272.

The previous prime is 142964413. The next prime is 142964431. The reversal of 142964416 is 614469241.

It is a tau number, because it is divible by the number of its divisors (28).

It is not an unprimeable number, because it can be changed into a prime (142964413) 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 3 ways as a sum of consecutive naturals, for example, 159111 + ... + 160006.

Almost surely, 2142964416 is an apocalyptic number.

142964416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

142964416 is an abundant number, since it is smaller than the sum of its proper divisors (181259472).

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

142964416 is an equidigital number, since it uses as much as digits as its factorization.

142964416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319136 (or 319126 counting only the distinct ones).

The product of its digits is 41472, while the sum is 37.

The square root of 142964416 is about 11956.7728087474. The cubic root of 142964416 is about 522.8887742445. Note that the first 3 decimals are identical.

It can be divided in two parts, 142964 and 416, that added together give a triangular number (143380 = T535).

The spelling of 142964416 in words is "one hundred forty-two million, nine hundred sixty-four thousand, four hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 319117 638234 1276468 2233819 2552936 4467638 5105872 8935276 10211744 17870552 20423488 35741104 71482208 142964416