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5878342140 = 22351123126119
BaseRepresentation
bin1010111100110000…
…00110000111111100
3120011200010201110120
411132120012013330
544014323422030
62411145134540
7265446040506
oct53630060774
916150121416
105878342140
112547197500
12118078a450
13728b11378
143da9c0d76
15246106010
hex15e6061fc

5878342140 has 144 divisors (see below), whose sum is σ = 18676008960. Its totient is φ = 1379030400.

The previous prime is 5878342097. The next prime is 5878342147. The reversal of 5878342140 is 412438785.

It is a junction number, because it is equal to n+sod(n) for n = 5878342092 and 5878342101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5878342147) by changing a digit.

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, 212001 + ... + 238119.

Almost surely, 25878342140 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 5878342140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9338004480).

5878342140 is an abundant number, since it is smaller than the sum of its proper divisors (12797666820).

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

5878342140 is a wasteful number, since it uses less digits than its factorization.

5878342140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26184 (or 26171 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 42.

The square root of 5878342140 is about 76670.3472015094. The cubic root of 5878342140 is about 1804.7551369662.

The spelling of 5878342140 in words is "five billion, eight hundred seventy-eight million, three hundred forty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 31 33 44 55 60 62 66 93 110 121 124 132 155 165 186 220 242 310 330 341 363 372 465 484 605 620 660 682 726 930 1023 1210 1364 1452 1705 1815 1860 2046 2420 3410 3630 3751 4092 5115 6820 7260 7502 10230 11253 15004 18755 20460 22506 26119 37510 45012 52238 56265 75020 78357 104476 112530 130595 156714 225060 261190 287309 313428 391785 522380 574618 783570 809689 861927 1149236 1436545 1567140 1619378 1723854 2429067 2873090 3160399 3238756 3447708 4048445 4309635 4858134 5746180 6320798 8096890 8619270 8906579 9481197 9716268 12145335 12641596 15801995 16193780 17238540 17813158 18962394 24290670 26719737 31603990 35626316 37924788 44532895 47405985 48581340 53439474 63207980 89065790 94811970 97972369 106878948 133598685 178131580 189623940 195944738 267197370 293917107 391889476 489861845 534394740 587834214 979723690 1175668428 1469585535 1959447380 2939171070 5878342140