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2523273340 = 2257194991901
BaseRepresentation
bin1001011001100110…
…0001100001111100
320111211222120022011
42112121201201330
520131424221330
61054214301004
7116346320020
oct22631414174
96454876264
102523273340
11108535a675
125a5057764
133129ba763
1419d18c380
15eb7c682a
hex9666187c

2523273340 has 96 divisors (see below), whose sum is σ = 6390720000. Its totient is φ = 817516800.

The previous prime is 2523273329. The next prime is 2523273367. The reversal of 2523273340 is 433723252.

It is a happy number.

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, 1326390 + ... + 1328290.

It is an arithmetic number, because the mean of its divisors is an integer number (66570000).

Almost surely, 22523273340 is an apocalyptic number.

2523273340 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 2523273340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195360000).

2523273340 is an abundant number, since it is smaller than the sum of its proper divisors (3867446660).

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

2523273340 is a wasteful number, since it uses less digits than its factorization.

2523273340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2435 (or 2433 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 31.

The square root of 2523273340 is about 50232.1942582643. The cubic root of 2523273340 is about 1361.4073774349.

Adding to 2523273340 its reverse (433723252), we get a palindrome (2956996592).

The spelling of 2523273340 in words is "two billion, five hundred twenty-three million, two hundred seventy-three thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 70 76 95 133 140 190 266 380 499 532 665 998 1330 1901 1996 2495 2660 3493 3802 4990 6986 7604 9481 9505 9980 13307 13972 17465 18962 19010 26614 34930 36119 37924 38020 47405 53228 66367 66535 69860 72238 94810 132734 133070 144476 180595 189620 252833 265468 266140 331835 361190 505666 663670 722380 948599 1011332 1264165 1327340 1897198 2528330 3794396 4742995 5056660 6640193 9485990 13280386 18023381 18971980 26560772 33200965 36046762 66401930 72093524 90116905 126163667 132803860 180233810 252327334 360467620 504654668 630818335 1261636670 2523273340