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2503214340 = 2235117153419
BaseRepresentation
bin1001010100110100…
…0000010100000100
320110110020110112020
42111031000110010
520111310324330
61052220323140
7116013653664
oct22515002404
96413213466
102503214340
111074aa9a90
1259a3a34b0
1330b7b6523
1419a64a1a4
15e9b63210
hex95340504

2503214340 has 96 divisors (see below), whose sum is σ = 7754019840. Its totient is φ = 598281600.

The previous prime is 2503214251. The next prime is 2503214353. The reversal of 2503214340 is 434123052.

It is a self number, because there is not a number n which added to its sum of digits gives 2503214340.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20151 + ... + 73569.

It is an arithmetic number, because the mean of its divisors is an integer number (80771040).

Almost surely, 22503214340 is an apocalyptic number.

2503214340 is a gapful number since it is divisible by the number (20) 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 2503214340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3877009920).

2503214340 is an abundant number, since it is smaller than the sum of its proper divisors (5250805500).

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

2503214340 is a wasteful number, since it uses less digits than its factorization.

2503214340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53513 (or 53511 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 2503214340 is about 50032.1330746551. The cubic root of 2503214340 is about 1357.7902299251.

Adding to 2503214340 its reverse (434123052), we get a palindrome (2937337392).

The spelling of 2503214340 in words is "two billion, five hundred three million, two hundred fourteen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 71 110 132 142 165 213 220 284 330 355 426 660 710 781 852 1065 1420 1562 2130 2343 3124 3905 4260 4686 7810 9372 11715 15620 23430 46860 53419 106838 160257 213676 267095 320514 534190 587609 641028 801285 1068380 1175218 1602570 1762827 2350436 2938045 3205140 3525654 3792749 5876090 7051308 7585498 8814135 11378247 11752180 15170996 17628270 18963745 22756494 35256540 37927490 41720239 45512988 56891235 75854980 83440478 113782470 125160717 166880956 208601195 227564940 250321434 417202390 500642868 625803585 834404780 1251607170 2503214340