Search a number
-
+
5387322100 = 22521737412089
BaseRepresentation
bin1010000010001110…
…00000001011110100
3111220110012022121011
411001013000023310
542013123301400
62250325002004
7250334324266
oct50107001364
914813168534
105387322100
112315003916
121064253304
1367b181774
143916c5b36
15217e638ba
hex1411c02f4

5387322100 has 144 divisors (see below), whose sum is σ = 13029009840. Its totient is φ = 1924300800.

The previous prime is 5387322089. The next prime is 5387322113. The reversal of 5387322100 is 12237835.

It can be written as a sum of positive squares in 24 ways, for example, as 1805060196 + 3582261904 = 42486^2 + 59852^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2577856 + ... + 2579944.

It is an arithmetic number, because the mean of its divisors is an integer number (90479235).

Almost surely, 25387322100 is an apocalyptic number.

5387322100 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 5387322100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6514504920).

5387322100 is an abundant number, since it is smaller than the sum of its proper divisors (7641687740).

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

5387322100 is a wasteful number, since it uses less digits than its factorization.

5387322100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2198 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

The square root of 5387322100 is about 73398.3794099025. The cubic root of 5387322100 is about 1753.0365891064.

Adding to 5387322100 its reverse (12237835), we get a palindrome (5399559935).

The spelling of 5387322100 in words is "five billion, three hundred eighty-seven million, three hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 37 41 50 68 74 82 85 100 148 164 170 185 205 340 370 410 425 629 697 740 820 850 925 1025 1258 1394 1517 1700 1850 2050 2089 2516 2788 3034 3145 3485 3700 4100 4178 6068 6290 6970 7585 8356 10445 12580 13940 15170 15725 17425 20890 25789 30340 31450 34850 35513 37925 41780 51578 52225 62900 69700 71026 75850 77293 85649 103156 104450 128945 142052 151700 154586 171298 177565 208900 257890 309172 342596 355130 386465 428245 515780 644725 710260 772930 856490 887825 1289450 1313981 1456033 1545860 1712980 1775650 1932325 2141225 2578900 2627962 2912066 3169013 3551300 3864650 4282450 5255924 5824132 6338026 6569905 7280165 7729300 8564900 12676052 13139810 14560330 15845065 26279620 29120660 31690130 32849525 36400825 53873221 63380260 65699050 72801650 79225325 107746442 131398100 145603300 158450650 215492884 269366105 316901300 538732210 1077464420 1346830525 2693661050 5387322100