Search a number
-
+
142611364 = 22728532
BaseRepresentation
bin10001000000000…
…01001110100100
3100221100102000101
420200001032210
5243002030424
622052353444
73351114400
oct1040011644
9327312011
10142611364
1173556035
123b915884
1323712b2c
1414d24100
15c7c0344
hex88013a4

142611364 has 27 divisors (see below), whose sum is σ = 290656737. Its totient is φ = 61047504.

The previous prime is 142611331. The next prime is 142611389. The reversal of 142611364 is 463116241.

The square root of 142611364 is 11942.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8236900 + 134374464 = 2870^2 + 11592^2 .

It is a super-2 number, since 2×1426113642 = 40676002283880992, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 166762 + ... + 167614.

Almost surely, 2142611364 is an apocalyptic number.

142611364 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

142611364 is the 11942-nd square number.

It is an amenable number.

142611364 is an abundant number, since it is smaller than the sum of its proper divisors (148045373).

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

142611364 is an frugal number, since it uses more digits than its factorization.

142611364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1724 (or 862 counting only the distinct ones).

The product of its digits is 3456, while the sum is 28.

The cubic root of 142611364 is about 522.4579931584.

It can be divided in two parts, 14261 and 1364, that added together give a 6-th power (15625 = 56).

The spelling of 142611364 in words is "one hundred forty-two million, six hundred eleven thousand, three hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 853 1706 3412 5971 11942 23884 41797 83594 167188 727609 1455218 2910436 5093263 10186526 20373052 35652841 71305682 142611364