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108989568 = 2732372557
BaseRepresentation
bin1100111111100…
…00110010000000
321121002020120200
412133300302000
5210400131233
614452005200
72462252562
oct637606200
9247066520
10108989568
1156581526
1230600800
131977048c
1410691332
15987d313
hex67f0c80

108989568 has 96 divisors (see below), whose sum is σ = 322231260. Its totient is φ = 35334144.

The previous prime is 108989527. The next prime is 108989591. The reversal of 108989568 is 865989801.

It can be written as a sum of positive squares in 2 ways, for example, as 105021504 + 3968064 = 10248^2 + 1992^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41346 + ... + 43902.

Almost surely, 2108989568 is an apocalyptic number.

108989568 is a gapful number since it is divisible by the number (18) 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 108989568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161115630).

108989568 is an abundant number, since it is smaller than the sum of its proper divisors (213241692).

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

108989568 is a wasteful number, since it uses less digits than its factorization.

108989568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2614 (or 2599 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The square root of 108989568 is about 10439.8068947658. The cubic root of 108989568 is about 477.6703784235.

The spelling of 108989568 in words is "one hundred eight million, nine hundred eighty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 37 48 64 72 74 96 111 128 144 148 192 222 288 296 333 384 444 576 592 666 888 1152 1184 1332 1776 2368 2557 2664 3552 4736 5114 5328 7104 7671 10228 10656 14208 15342 20456 21312 23013 30684 40912 42624 46026 61368 81824 92052 94609 122736 163648 184104 189218 245472 283827 327296 368208 378436 490944 567654 736416 756872 851481 981888 1135308 1472832 1513744 1702962 2270616 2945664 3027488 3405924 4541232 6054976 6811848 9082464 12109952 13623696 18164928 27247392 36329856 54494784 108989568