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5527308240 = 2433519134681
BaseRepresentation
bin1010010010111010…
…00000011111010000
3112021012121100111000
411021131000133100
542304442330430
62312245222000
7253654226166
oct51135003720
915235540430
105527308240
112387026543
1210a3101900
136a11856bc
143a6125236
152253b5e60
hex1497407d0

5527308240 has 160 divisors (see below), whose sum is σ = 20040681600. Its totient is φ = 1396362240.

The previous prime is 5527308239. The next prime is 5527308251. The reversal of 5527308240 is 428037255.

It is a super-2 number, since 2×55273082402 = 61102272759943795200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5527308195 and 5527308204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26301 + ... + 108380.

It is an arithmetic number, because the mean of its divisors is an integer number (125254260).

Almost surely, 25527308240 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 5527308240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10020340800).

5527308240 is an abundant number, since it is smaller than the sum of its proper divisors (14513373360).

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

5527308240 is a wasteful number, since it uses less digits than its factorization.

5527308240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134722 (or 134710 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 5527308240 is about 74345.8690177201. The cubic root of 5527308240 is about 1768.0907882509.

The spelling of 5527308240 in words is "five billion, five hundred twenty-seven million, three hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 19 20 24 27 30 36 38 40 45 48 54 57 60 72 76 80 90 95 108 114 120 135 144 152 171 180 190 216 228 240 270 285 304 342 360 380 432 456 513 540 570 684 720 760 855 912 1026 1080 1140 1368 1520 1710 2052 2160 2280 2565 2736 3420 4104 4560 5130 6840 8208 10260 13680 20520 41040 134681 269362 404043 538724 673405 808086 1077448 1212129 1346810 1616172 2020215 2154896 2424258 2558939 2693620 3232344 3636387 4040430 4848516 5117878 5387240 6060645 6464688 7272774 7676817 8080860 9697032 10235756 10774480 12121290 12794695 14545548 15353634 16161720 18181935 19394064 20471512 23030451 24242580 25589390 29091096 30707268 32323440 36363870 38384085 40943024 46060902 48485160 51178780 58182192 61414536 69091353 72727740 76768170 92121804 96970320 102357560 115152255 122829072 138182706 145455480 153536340 184243608 204715120 230304510 276365412 290910960 307072680 345456765 368487216 460609020 552730824 614145360 690913530 921218040 1105461648 1381827060 1842436080 2763654120 5527308240