Search a number
-
+
53034320 = 24519233741
BaseRepresentation
bin1100101001001…
…1110101010000
310200210102102002
43022103311100
5102034044240
65132413132
71212533003
oct312236520
9120712362
1053034320
1127a33519
12159171a8
13acab571
14708753a
1549c8d15
hex3293d50

53034320 has 160 divisors (see below), whose sum is σ = 142490880. Its totient is φ = 18247680.

The previous prime is 53034307. The next prime is 53034323. The reversal of 53034320 is 2343035.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 53034292 and 53034301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53034323) 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, 1293500 + ... + 1293540.

It is an arithmetic number, because the mean of its divisors is an integer number (890568).

Almost surely, 253034320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53034320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71245440).

53034320 is an abundant number, since it is smaller than the sum of its proper divisors (89456560).

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

53034320 is a wasteful number, since it uses less digits than its factorization.

53034320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 53034320 is about 7282.4666150968. The cubic root of 53034320 is about 375.7096370012.

Adding to 53034320 its reverse (2343035), we get a palindrome (55377355).

The spelling of 53034320 in words is "fifty-three million, thirty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 37 38 40 41 46 74 76 80 82 92 95 115 148 152 164 184 185 190 205 230 296 304 328 368 370 380 410 437 460 592 656 703 740 760 779 820 851 874 920 943 1406 1480 1517 1520 1558 1640 1702 1748 1840 1886 2185 2812 2960 3034 3116 3280 3404 3496 3515 3772 3895 4255 4370 4715 5624 6068 6232 6808 6992 7030 7544 7585 7790 8510 8740 9430 11248 12136 12464 13616 14060 15088 15170 15580 16169 17020 17480 17917 18860 24272 28120 28823 30340 31160 32338 34040 34891 34960 35834 37720 56240 57646 60680 62320 64676 68080 69782 71668 75440 80845 89585 115292 121360 129352 139564 143336 144115 161690 174455 179170 230584 258704 279128 286672 288230 323380 348910 358340 461168 558256 576460 646760 662929 697820 716680 1152920 1293520 1325858 1395640 1433360 2305840 2651716 2791280 3314645 5303432 6629290 10606864 13258580 26517160 53034320