Search a number
-
+
2503895420 = 2251331417577
BaseRepresentation
bin1001010100111110…
…0110100101111100
320110111112001210102
42111033212211330
520111444123140
61052243100232
7116022521435
oct22517464574
96414461712
102503895420
111075424764
1259a671678
1330b994530
1419a78648c
15e9c49e15
hex953e697c

2503895420 has 96 divisors (see below), whose sum is σ = 5988681216. Its totient is φ = 872755200.

The previous prime is 2503895419. The next prime is 2503895479. The reversal of 2503895420 is 245983052.

It is a congruent number.

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, 326672 + ... + 334248.

It is an arithmetic number, because the mean of its divisors is an integer number (62382096).

Almost surely, 22503895420 is an apocalyptic number.

2503895420 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 2503895420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2994340608).

2503895420 is an abundant number, since it is smaller than the sum of its proper divisors (3484785796).

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

2503895420 is a wasteful number, since it uses less digits than its factorization.

2503895420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7671 (or 7669 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 2503895420 is about 50038.9390375136. The cubic root of 2503895420 is about 1357.9133622644.

The spelling of 2503895420 in words is "two billion, five hundred three million, eight hundred ninety-five thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 31 41 52 62 65 82 124 130 155 164 205 260 310 403 410 533 620 806 820 1066 1271 1612 2015 2132 2542 2665 4030 5084 5330 6355 7577 8060 10660 12710 15154 16523 25420 30308 33046 37885 66092 75770 82615 98501 151540 165230 197002 234887 310657 330460 394004 469774 492505 621314 939548 985010 1174435 1242628 1553285 1970020 2348870 3053531 3106570 4038541 4697740 6107062 6213140 8077082 9630367 12214124 15267655 16154164 19260734 20192705 30535310 38521468 40385410 48151835 61070620 80770820 96303670 125194771 192607340 250389542 500779084 625973855 1251947710 2503895420