Search a number
-
+
5460142860 = 223251915710169
BaseRepresentation
bin1010001010111001…
…10010101100001100
3112002112012222220100
411011130302230030
542140244032420
62301445451100
7252210306564
oct50534625414
915075188810
105460142860
112352121167
121084710a90
1369029a183
1439b23dda4
1521e54a190
hex145732b0c

5460142860 has 144 divisors (see below), whose sum is σ = 17546911200. Its totient is φ = 1370483712.

The previous prime is 5460142859. The next prime is 5460142861. The reversal of 5460142860 is 682410645.

5460142860 is a `hidden beast` number, since 5 + 4 + 601 + 42 + 8 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5460142859) and next prime (5460142861).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5460142861) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 531856 + ... + 542024.

It is an arithmetic number, because the mean of its divisors is an integer number (121853550).

Almost surely, 25460142860 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 5460142860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8773455600).

5460142860 is an abundant number, since it is smaller than the sum of its proper divisors (12086768340).

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

5460142860 is a wasteful number, since it uses less digits than its factorization.

5460142860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10360 (or 10355 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The square root of 5460142860 is about 73892.7794848725. The cubic root of 5460142860 is about 1760.8998992154.

It can be divided in two parts, 54601 and 42860, that added together give a triangular number (97461 = T441).

The spelling of 5460142860 in words is "five billion, four hundred sixty million, one hundred forty-two thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 157 171 180 190 228 285 314 342 380 471 570 628 684 785 855 942 1140 1413 1570 1710 1884 2355 2826 2983 3140 3420 4710 5652 5966 7065 8949 9420 10169 11932 14130 14915 17898 20338 26847 28260 29830 30507 35796 40676 44745 50845 53694 59660 61014 89490 91521 101690 107388 122028 134235 152535 178980 183042 193211 203380 268470 305070 366084 386422 457605 536940 579633 610140 772844 915210 966055 1159266 1596533 1738899 1830420 1932110 2318532 2898165 3193066 3477798 3864220 4789599 5796330 6386132 6955596 7982665 8694495 9579198 11592660 14368797 15965330 17388990 19158396 23947995 28737594 30334127 31930660 34777980 47895990 57475188 60668254 71843985 91002381 95791980 121336508 143687970 151670635 182004762 273007143 287375940 303341270 364009524 455011905 546014286 606682540 910023810 1092028572 1365035715 1820047620 2730071430 5460142860