[go: up one dir, main page]

Search a number
-
+
1042502140 = 2252310322003
BaseRepresentation
bin111110001000110…
…101000111111100
32200122122121002101
4332020311013330
54113340032030
6251240234444
734556056561
oct7610650774
92618577071
101042502140
11495513319
1225116ba24
13137c9b894
149c652868
15617c97ca
hex3e2351fc

1042502140 has 48 divisors (see below), whose sum is σ = 2306723328. Its totient is φ = 394979904.

The previous prime is 1042502107. The next prime is 1042502147. The reversal of 1042502140 is 412052401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1042502147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36379 + ... + 58381.

It is an arithmetic number, because the mean of its divisors is an integer number (48056736).

Almost surely, 21042502140 is an apocalyptic number.

1042502140 is a gapful number since it is divisible by the number (10) 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 1042502140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1153361664).

1042502140 is an abundant number, since it is smaller than the sum of its proper divisors (1264221188).

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

1042502140 is a wasteful number, since it uses less digits than its factorization.

1042502140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22138 (or 22136 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 1042502140 is about 32287.8017213932. The cubic root of 1042502140 is about 1013.9712744425.

Adding to 1042502140 its reverse (412052401), we get a palindrome (1454554541).

The spelling of 1042502140 in words is "one billion, forty-two million, five hundred two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 103 115 206 230 412 460 515 1030 2060 2369 4738 9476 11845 22003 23690 44006 47380 88012 110015 220030 440060 506069 1012138 2024276 2266309 2530345 4532618 5060690 9065236 10121380 11331545 22663090 45326180 52125107 104250214 208500428 260625535 521251070 1042502140