Search a number
-
+
1024142504 = 2371111314713
BaseRepresentation
bin111101000010110…
…010110010101000
32122101002211101212
4331002302302220
54044140030004
6245342532252
734244032130
oct7502626250
92571084355
101024142504
11486113470
12246b97088
13134240ca8
149a033ac0
155ed9e96e
hex3d0b2ca8

1024142504 has 64 divisors (see below), whose sum is σ = 2415450240. Its totient is φ = 395458560.

The previous prime is 1024142501. The next prime is 1024142513. The reversal of 1024142504 is 4052414201.

It is a self number, because there is not a number n which added to its sum of digits gives 1024142504.

It is not an unprimeable number, because it can be changed into a prime (1024142501) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 62252 + ... + 76964.

It is an arithmetic number, because the mean of its divisors is an integer number (37741410).

Almost surely, 21024142504 is an apocalyptic number.

1024142504 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 1024142504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207725120).

1024142504 is an abundant number, since it is smaller than the sum of its proper divisors (1391307736).

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

1024142504 is a wasteful number, since it uses less digits than its factorization.

1024142504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14850 (or 14846 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 1024142504 is about 32002.2265475388. The cubic root of 1024142504 is about 1007.9835939423.

Adding to 1024142504 its reverse (4052414201), we get a palindrome (5076556705).

The spelling of 1024142504 in words is "one billion, twenty-four million, one hundred forty-two thousand, five hundred four".

Divisors: 1 2 4 7 8 11 14 22 28 44 56 77 88 113 154 226 308 452 616 791 904 1243 1582 2486 3164 4972 6328 8701 9944 14713 17402 29426 34804 58852 69608 102991 117704 161843 205982 323686 411964 647372 823928 1132901 1294744 1662569 2265802 3325138 4531604 6650276 9063208 11637983 13300552 18288259 23275966 36576518 46551932 73153036 93103864 128017813 146306072 256035626 512071252 1024142504