Search a number
-
+
1142645504 = 287411132
BaseRepresentation
bin100010000011011…
…0110001100000000
32221122002101221212
41010012312030000
54320004124004
6305214505252
740213220000
oct10406661400
92848071855
101142645504
11536aa2530
1227a805228
13152962700
14aba80000
156a4ab96e
hex441b6300

1142645504 has 270 divisors, whose sum is σ = 3143158956. Its totient is φ = 410941440.

The previous prime is 1142645489. The next prime is 1142645509. The reversal of 1142645504 is 4055462411.

It is a super-2 number, since 2×11426455042 = 2611277495622828032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (1142645509) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 87895802 + ... + 87895814.

Almost surely, 21142645504 is an apocalyptic number.

1142645504 is a gapful number since it is divisible by the number (14) 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 1142645504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1571579478).

1142645504 is an abundant number, since it is smaller than the sum of its proper divisors (2000513452).

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

1142645504 is an frugal number, since it uses more digits than its factorization.

1142645504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 32.

The square root of 1142645504 is about 33803.0398633022. The cubic root of 1142645504 is about 1045.4513755587.

It can be divided in two parts, 1142 and 645504, that added together give a palindrome (646646).

The spelling of 1142645504 in words is "one billion, one hundred forty-two million, six hundred forty-five thousand, five hundred four".