Search a number
-
+
6152043120 = 2435891491933
BaseRepresentation
bin1011011101011000…
…01011101001110000
3120212202011011121220
411232230023221300
5100044410334440
62454243345040
7305311334526
oct55654135160
916782134556
106152043120
112677739063
121238382180
13770731902
144250aa316
1526016c8d0
hex16eb0ba70

6152043120 has 160 divisors (see below), whose sum is σ = 19425096000. Its totient is φ = 1610391552.

The previous prime is 6152043119. The next prime is 6152043143. The reversal of 6152043120 is 213402516.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 31 ways as a sum of consecutive naturals, for example, 3181674 + ... + 3183606.

It is an arithmetic number, because the mean of its divisors is an integer number (121406850).

Almost surely, 26152043120 is an apocalyptic number.

6152043120 is a gapful number since it is divisible by the number (60) 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 6152043120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9712548000).

6152043120 is an abundant number, since it is smaller than the sum of its proper divisors (13273052880).

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

6152043120 is a wasteful number, since it uses less digits than its factorization.

6152043120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2187 (or 2181 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 6152043120 is about 78434.9610824153. The cubic root of 6152043120 is about 1832.3416647583.

Adding to 6152043120 its reverse (213402516), we get a palindrome (6365445636).

The spelling of 6152043120 in words is "six billion, one hundred fifty-two million, forty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 149 178 240 267 298 356 445 447 534 596 712 745 890 894 1068 1192 1335 1424 1490 1780 1788 1933 2136 2235 2384 2670 2980 3560 3576 3866 4272 4470 5340 5799 5960 7120 7152 7732 8940 9665 10680 11598 11920 13261 15464 17880 19330 21360 23196 26522 28995 30928 35760 38660 39783 46392 53044 57990 66305 77320 79566 92784 106088 115980 132610 154640 159132 172037 198915 212176 231960 265220 288017 318264 344074 397830 463920 516111 530440 576034 636528 688148 795660 860185 864051 1032222 1060880 1152068 1376296 1440085 1591320 1720370 1728102 2064444 2304136 2580555 2752592 2880170 3182640 3440740 3456204 4128888 4320255 4608272 5161110 5760340 6881480 6912408 8257776 8640510 10322220 11520680 13762960 13824816 17281020 20644440 23041360 25633513 34562040 41288880 51267026 69124080 76900539 102534052 128167565 153801078 205068104 256335130 307602156 384502695 410136208 512670260 615204312 769005390 1025340520 1230408624 1538010780 2050681040 3076021560 6152043120