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53713000 = 23531119257
BaseRepresentation
bin1100110011100…
…1100001101000
310202001220101101
43030321201220
5102222304000
65155131144
71221360445
oct314714150
9122056341
1053713000
1128357410
1215ba3ab4
13b188453
1471c29cc
154aaee6a
hex3339868

53713000 has 128 divisors (see below), whose sum is σ = 144892800. Its totient is φ = 18432000.

The previous prime is 53712983. The next prime is 53713003. The reversal of 53713000 is 31735.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53713003) 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, 208872 + ... + 209128.

It is an arithmetic number, because the mean of its divisors is an integer number (1131975).

Almost surely, 253713000 is an apocalyptic number.

53713000 is a gapful number since it is divisible by the number (50) 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 53713000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72446400).

53713000 is an abundant number, since it is smaller than the sum of its proper divisors (91179800).

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

53713000 is a wasteful number, since it uses less digits than its factorization.

53713000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 315, while the sum is 19.

The square root of 53713000 is about 7328.9153358461. The cubic root of 53713000 is about 377.3055004366.

Adding to 53713000 its reverse (31735), we get a palindrome (53744735).

The spelling of 53713000 in words is "fifty-three million, seven hundred thirteen thousand".

Divisors: 1 2 4 5 8 10 11 19 20 22 25 38 40 44 50 55 76 88 95 100 110 125 152 190 200 209 220 250 257 275 380 418 440 475 500 514 550 760 836 950 1000 1028 1045 1100 1285 1375 1672 1900 2056 2090 2200 2375 2570 2750 2827 3800 4180 4750 4883 5140 5225 5500 5654 6425 8360 9500 9766 10280 10450 11000 11308 12850 14135 19000 19532 20900 22616 24415 25700 26125 28270 32125 39064 41800 48830 51400 52250 53713 56540 64250 70675 97660 104500 107426 113080 122075 128500 141350 195320 209000 214852 244150 257000 268565 282700 353375 429704 488300 537130 565400 610375 706750 976600 1074260 1220750 1342825 1413500 2148520 2441500 2685650 2827000 4883000 5371300 6714125 10742600 13428250 26856500 53713000