Search a number
-
+
4153115430 = 23554194079
BaseRepresentation
bin1111011110001011…
…1000001100100110
3101201102211010100000
43313202320030212
532001144143210
61524035402130
7204626620152
oct36742701446
911642733300
104153115430
111841364102
1297aa53346
13512571669
142b5810062
1519491cac0
hexf78b8326

4153115430 has 96 divisors (see below), whose sum is σ = 11227507200. Its totient is φ = 1104583392.

The previous prime is 4153115423. The next prime is 4153115467. The reversal of 4153115430 is 345113514.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 4153115394 and 4153115403.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1016131 + ... + 1020209.

It is an arithmetic number, because the mean of its divisors is an integer number (116953200).

Almost surely, 24153115430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4153115430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5613753600).

4153115430 is an abundant number, since it is smaller than the sum of its proper divisors (7074391770).

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

4153115430 is a wasteful number, since it uses less digits than its factorization.

4153115430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4520 (or 4508 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 4153115430 is about 64444.6695235533. The cubic root of 4153115430 is about 1607.4026030463.

Adding to 4153115430 its reverse (345113514), we get a palindrome (4498228944).

The spelling of 4153115430 in words is "four billion, one hundred fifty-three million, one hundred fifteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 270 405 419 486 810 838 1215 1257 2095 2430 2514 3771 4079 4190 6285 7542 8158 11313 12237 12570 18855 20395 22626 24474 33939 36711 37710 40790 56565 61185 67878 73422 101817 110133 113130 122370 169695 183555 203634 220266 330399 339390 367110 509085 550665 660798 991197 1018170 1101330 1651995 1709101 1982394 3303990 3418202 4955985 5127303 8545505 9911970 10254606 15381909 17091010 25636515 30763818 46145727 51273030 76909545 92291454 138437181 153819090 230728635 276874362 415311543 461457270 692185905 830623086 1384371810 2076557715 4153115430