Search a number
-
+
5152214130 = 2357231935527
BaseRepresentation
bin1001100110001100…
…01000110001110010
3111022001210121002120
410303012020301302
541022431323010
62211125455110
7241451045310
oct46306106162
914261717076
105152214130
112204321808
12bb9571496
1364155451b
1436c3a50b0
152024c1e70
hex133188c72

5152214130 has 128 divisors (see below), whose sum is σ = 14825299968. Its totient is φ = 1120407552.

The previous prime is 5152214099. The next prime is 5152214143. The reversal of 5152214130 is 314122515.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 5152214130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 929427 + ... + 934953.

It is an arithmetic number, because the mean of its divisors is an integer number (115822656).

Almost surely, 25152214130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5152214130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7412649984).

5152214130 is an abundant number, since it is smaller than the sum of its proper divisors (9673085838).

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

5152214130 is a wasteful number, since it uses less digits than its factorization.

5152214130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5760.

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 5152214130 is about 71778.9253890026. The cubic root of 5152214130 is about 1727.1549493293.

Adding to 5152214130 its reverse (314122515), we get a palindrome (5466336645).

The spelling of 5152214130 in words is "five billion, one hundred fifty-two million, two hundred fourteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 23 30 35 42 46 69 70 105 115 138 161 193 210 230 322 345 386 483 579 690 805 965 966 1158 1351 1610 1930 2415 2702 2895 4053 4439 4830 5527 5790 6755 8106 8878 11054 13317 13510 16581 20265 22195 26634 27635 31073 33162 38689 40530 44390 55270 62146 66585 77378 82905 93219 116067 127121 133170 155365 165810 186438 193445 232134 254242 310730 381363 386890 466095 580335 635605 762726 889847 932190 1066711 1160670 1271210 1779694 1906815 2133422 2669541 3200133 3813630 4449235 5333555 5339082 6400266 7466977 8898470 10667110 13347705 14933954 16000665 22400931 24534353 26695410 32001330 37334885 44801862 49068706 73603059 74669770 112004655 122671765 147206118 171740471 224009310 245343530 343480942 368015295 515221413 736030590 858702355 1030442826 1717404710 2576107065 5152214130