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1003214420 = 2251322931013
BaseRepresentation
bin111011110010111…
…101011001010100
32120220201120110122
4323302331121110
54023310330140
6243314211112
733601116245
oct7362753124
92526646418
101003214420
1147531992a
1223bb83a98
1312cac4300
1497346ccc
155d118ab5
hex3bcbd654

1003214420 has 72 divisors (see below), whose sum is σ = 2291319576. Its totient is φ = 368788992.

The previous prime is 1003214413. The next prime is 1003214441. The reversal of 1003214420 is 244123001.

It can be written as a sum of positive squares in 12 ways, for example, as 662959504 + 340254916 = 25748^2 + 18446^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 989834 + ... + 990846.

It is an arithmetic number, because the mean of its divisors is an integer number (31823883).

Almost surely, 21003214420 is an apocalyptic number.

1003214420 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 1003214420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1145659788).

1003214420 is an abundant number, since it is smaller than the sum of its proper divisors (1288105156).

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

1003214420 is a wasteful number, since it uses less digits than its factorization.

1003214420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1341 (or 1326 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1003214420 is about 31673.5602672008. The cubic root of 1003214420 is about 1001.0703273240.

Adding to 1003214420 its reverse (244123001), we get a palindrome (1247337421).

The spelling of 1003214420 in words is "one billion, three million, two hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 169 260 293 338 586 676 845 1013 1172 1465 1690 2026 2930 3380 3809 4052 5065 5860 7618 10130 13169 15236 19045 20260 26338 38090 49517 52676 65845 76180 99034 131690 171197 198068 247585 263380 296809 342394 495170 593618 684788 855985 990340 1187236 1484045 1711970 2968090 3423940 3858517 5936180 7717034 15434068 19292585 38585170 50160721 77170340 100321442 200642884 250803605 501607210 1003214420