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1152315560 = 2351183139227
BaseRepresentation
bin100010010101110…
…1111000010101000
32222022021200210002
41010223233002220
54324443044220
6310202042132
740361343404
oct10453570250
92868250702
101152315560
115414a7810
12281aa9348
1315496a036
14ad07a104
156b26bc75
hex44aef0a8

1152315560 has 128 divisors (see below), whose sum is σ = 2895782400. Its totient is φ = 409186560.

The previous prime is 1152315557. The next prime is 1152315581. The reversal of 1152315560 is 655132511.

It is a super-2 number, since 2×11523155602 = 2655662299636227200, which contains 22 as substring.

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, 5076167 + ... + 5076393.

It is an arithmetic number, because the mean of its divisors is an integer number (22623300).

Almost surely, 21152315560 is an apocalyptic number.

1152315560 is a gapful number since it is divisible by the number (10) 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 1152315560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447891200).

1152315560 is an abundant number, since it is smaller than the sum of its proper divisors (1743466840).

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

1152315560 is a wasteful number, since it uses less digits than its factorization.

1152315560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471 (or 467 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 29.

The square root of 1152315560 is about 33945.7738164856. The cubic root of 1152315560 is about 1048.3922666713.

The spelling of 1152315560 in words is "one billion, one hundred fifty-two million, three hundred fifteen thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 83 88 110 139 166 220 227 278 332 415 440 454 556 664 695 830 908 913 1112 1135 1390 1529 1660 1816 1826 2270 2497 2780 3058 3320 3652 4540 4565 4994 5560 6116 7304 7645 9080 9130 9988 11537 12232 12485 15290 18260 18841 19976 23074 24970 30580 31553 36520 37682 46148 49940 57685 61160 63106 75364 92296 94205 99880 115370 126212 126907 150728 157765 188410 207251 230740 252424 253814 315530 347083 376820 414502 461480 507628 631060 634535 694166 753640 829004 1015256 1036255 1262120 1269070 1388332 1658008 1735415 2072510 2538140 2618899 2776664 3470830 4145020 5076280 5237798 6941660 8290040 10475596 13094495 13883320 20951192 26188990 28807889 52377980 57615778 104755960 115231556 144039445 230463112 288078890 576157780 1152315560