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1012004420 = 225729324671
BaseRepresentation
bin111100010100011…
…111011001000100
32121112021011002012
4330110133121010
54033033120140
6244230433352
734035616130
oct7424373104
92545234065
101012004420
1147a282999
12242b02858
131318811ab
14985943c0
155dca3265
hex3c51f644

1012004420 has 48 divisors (see below), whose sum is σ = 2437198848. Its totient is φ = 345774720.

The previous prime is 1012004369. The next prime is 1012004437. The reversal of 1012004420 is 244002101.

1012004420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 1012004395 and 1012004404.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 28685 + ... + 53355.

It is an arithmetic number, because the mean of its divisors is an integer number (50774976).

Almost surely, 21012004420 is an apocalyptic number.

1012004420 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 1012004420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1218599424).

1012004420 is an abundant number, since it is smaller than the sum of its proper divisors (1425194428).

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

1012004420 is a wasteful number, since it uses less digits than its factorization.

1012004420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24980 (or 24978 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 1012004420 is about 31812.0169118527. The cubic root of 1012004420 is about 1003.9855674819.

Adding to 1012004420 its reverse (244002101), we get a palindrome (1256006521).

The spelling of 1012004420 in words is "one billion, twelve million, four thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 293 586 1172 1465 2051 2930 4102 5860 8204 10255 20510 24671 41020 49342 98684 123355 172697 246710 345394 493420 690788 863485 1726970 3453940 7228603 14457206 28914412 36143015 50600221 72286030 101200442 144572060 202400884 253001105 506002210 1012004420