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20514300 = 22352195961
BaseRepresentation
bin100111001000…
…0010111111100
31102121020022220
41032100113330
520222424200
62011405340
7336240312
oct116202774
942536286
1020514300
1110641774
126a53850
134333551
142a200b2
151c034a0
hex13905fc

20514300 has 144 divisors (see below), whose sum is σ = 64579200. Its totient is φ = 5011200.

The previous prime is 20514289. The next prime is 20514301. The reversal of 20514300 is 341502.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20514300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20514301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 336270 + ... + 336330.

Almost surely, 220514300 is an apocalyptic number.

20514300 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 20514300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32289600).

20514300 is an abundant number, since it is smaller than the sum of its proper divisors (44064900).

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

20514300 is a wasteful number, since it uses less digits than its factorization.

20514300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 156 (or 149 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 20514300 is about 4529.2714645956. The cubic root of 20514300 is about 273.7488063166.

Adding to 20514300 its reverse (341502), we get a palindrome (20855802).

The spelling of 20514300 in words is "twenty million, five hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 59 60 61 75 76 95 100 114 118 122 150 177 183 190 228 236 244 285 295 300 305 354 366 380 475 570 590 610 708 732 885 915 950 1121 1140 1159 1180 1220 1425 1475 1525 1770 1830 1900 2242 2318 2850 2950 3050 3363 3477 3540 3599 3660 4425 4484 4575 4636 5605 5700 5795 5900 6100 6726 6954 7198 8850 9150 10797 11210 11590 13452 13908 14396 16815 17385 17700 17995 18300 21594 22420 23180 28025 28975 33630 34770 35990 43188 53985 56050 57950 67260 68381 69540 71980 84075 86925 89975 107970 112100 115900 136762 168150 173850 179950 205143 215940 269925 273524 336300 341905 347700 359900 410286 539850 683810 820572 1025715 1079700 1367620 1709525 2051430 3419050 4102860 5128575 6838100 10257150 20514300