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20633340 = 22357133779
BaseRepresentation
bin100111010110…
…1011011111100
31102211021121210
41032231123330
520240231330
62014124420
7340244340
oct116553374
942737553
1020633340
1110713152
126ab0710
1343757a0
142a51620
151c288b0
hex13ad6fc

20633340 has 96 divisors (see below), whose sum is σ = 71124480. Its totient is φ = 4352256.

The previous prime is 20633339. The next prime is 20633341. The reversal of 20633340 is 4333602.

It is an interprime number because it is at equal distance from previous prime (20633339) and next prime (20633341).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20633341) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3571 + ... + 7349.

It is an arithmetic number, because the mean of its divisors is an integer number (740880).

Almost surely, 220633340 is an apocalyptic number.

20633340 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 20633340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35562240).

20633340 is an abundant number, since it is smaller than the sum of its proper divisors (50491140).

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

20633340 is a wasteful number, since it uses less digits than its factorization.

20633340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3809 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 21.

The square root of 20633340 is about 4542.3936421231. The cubic root of 20633340 is about 274.2772869125.

Adding to 20633340 its reverse (4333602), we get a palindrome (24966942).

The spelling of 20633340 in words is "twenty million, six hundred thirty-three thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 3779 5460 7558 11337 15116 18895 22674 26453 37790 45348 49127 52906 56685 75580 79359 98254 105812 113370 132265 147381 158718 196508 226740 245635 264530 294762 317436 343889 396795 491270 529060 589524 687778 736905 793590 982540 1031667 1375556 1473810 1587180 1719445 2063334 2947620 3438890 4126668 5158335 6877780 10316670 20633340