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5340906720 = 25355137369
BaseRepresentation
bin1001111100101011…
…11100010011100000
3111210012212011200000
410332111330103200
541414233003340
62241550100000
7246231646422
oct47625742340
914705764600
105340906720
1122a08912a6
1210507aa600
1367167cb46
14389482812
15213d45d30
hex13e57c4e0

5340906720 has 144 divisors (see below), whose sum is σ = 18901013040. Its totient is φ = 1424231424.

The previous prime is 5340906691. The next prime is 5340906731. The reversal of 5340906720 is 276090435.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×53409067203 (a number of 30 digits) contains 333 as substring.

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

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 23 ways as a sum of consecutive naturals, for example, 29805 + ... + 107564.

It is an arithmetic number, because the mean of its divisors is an integer number (131257035).

Almost surely, 25340906720 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 5340906720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9450506520).

5340906720 is an abundant number, since it is smaller than the sum of its proper divisors (13560106320).

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

5340906720 is a wasteful number, since it uses less digits than its factorization.

5340906720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137399 (or 137379 counting only the distinct ones).

The product of its (nonzero) digits is 45360, while the sum is 36.

The square root of 5340906720 is about 73081.5073736168. The cubic root of 5340906720 is about 1747.9875336644.

The spelling of 5340906720 in words is "five billion, three hundred forty million, nine hundred six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 81 90 96 108 120 135 144 160 162 180 216 240 243 270 288 324 360 405 432 480 486 540 648 720 810 864 972 1080 1215 1296 1440 1620 1944 2160 2430 2592 3240 3888 4320 4860 6480 7776 9720 12960 19440 38880 137369 274738 412107 549476 686845 824214 1098952 1236321 1373690 1648428 2060535 2197904 2472642 2747380 3296856 3708963 4121070 4395808 4945284 5494760 6181605 6593712 7417926 8242140 9890568 10989520 11126889 12363210 13187424 14835852 16484280 18544815 19781136 21979040 22253778 24726420 29671704 32968560 33380667 37089630 39562272 44507556 49452840 55634445 59343408 65937120 66761334 74179260 89015112 98905680 111268890 118686816 133522668 148358520 166903335 178030224 197811360 222537780 267045336 296717040 333806670 356060448 445075560 534090672 593434080 667613340 890151120 1068181344 1335226680 1780302240 2670453360 5340906720