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20200440 = 23351323563
BaseRepresentation
bin100110100001…
…1101111111000
31102000021210110
41031003233320
520132403230
62000544320
7333462261
oct115035770
942007713
1020200440
1110447987
1269220a0
134253730
14297b968
151b904b0
hex1343bf8

20200440 has 128 divisors (see below), whose sum is σ = 68221440. Its totient is φ = 4747776.

The previous prime is 20200429. The next prime is 20200441. The reversal of 20200440 is 4400202.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20200441) 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, 35599 + ... + 36161.

It is an arithmetic number, because the mean of its divisors is an integer number (532980).

Almost surely, 220200440 is an apocalyptic number.

20200440 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 20200440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34110720).

20200440 is an abundant number, since it is smaller than the sum of its proper divisors (48021000).

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

20200440 is a wasteful number, since it uses less digits than its factorization.

20200440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 613 (or 609 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

The square root of 20200440 is about 4494.4899599398. The cubic root of 20200440 is about 272.3455455546.

Adding to 20200440 its reverse (4400202), we get a palindrome (24600642).

The spelling of 20200440 in words is "twenty million, two hundred thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 563 598 690 780 897 920 1126 1196 1380 1495 1560 1689 1794 2252 2392 2760 2815 2990 3378 3588 4485 4504 5630 5980 6756 7176 7319 8445 8970 11260 11960 12949 13512 14638 16890 17940 21957 22520 25898 29276 33780 35880 36595 38847 43914 51796 58552 64745 67560 73190 77694 87828 103592 109785 129490 146380 155388 168337 175656 194235 219570 258980 292760 310776 336674 388470 439140 505011 517960 673348 776940 841685 878280 1010022 1346696 1553880 1683370 2020044 2525055 3366740 4040088 5050110 6733480 10100220 20200440