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109989152 = 25713107353
BaseRepresentation
bin1101000111001…
…00110100100000
321122222000202022
412203210310200
5211124123102
614525241012
72503615040
oct643446440
9248860668
10109989152
11570a4529
1230a03168
1319a30450
1410871720
1599c95a2
hex68e4d20

109989152 has 96 divisors (see below), whose sum is σ = 269764992. Its totient is φ = 42983424.

The previous prime is 109989127. The next prime is 109989163. The reversal of 109989152 is 251989901.

It is a happy number.

It is a super-2 number, since 2×1099891522 = 24195227115358208, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 311408 + ... + 311760.

It is an arithmetic number, because the mean of its divisors is an integer number (2810052).

Almost surely, 2109989152 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 109989152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134882496).

109989152 is an abundant number, since it is smaller than the sum of its proper divisors (159775840).

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

109989152 is a wasteful number, since it uses less digits than its factorization.

109989152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 490 (or 482 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 44.

The square root of 109989152 is about 10487.5713108422. The cubic root of 109989152 is about 479.1262344847.

The spelling of 109989152 in words is "one hundred nine million, nine hundred eighty-nine thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 107 112 182 208 214 224 353 364 416 428 706 728 749 856 1391 1412 1456 1498 1712 2471 2782 2824 2912 2996 3424 4589 4942 5564 5648 5992 9178 9737 9884 11128 11296 11984 18356 19474 19768 22256 23968 32123 36712 37771 38948 39536 44512 64246 73424 75542 77896 79072 128492 146848 151084 155792 256984 264397 302168 311584 491023 513968 528794 604336 982046 1027936 1057588 1208672 1964092 2115176 3437161 3928184 4230352 6874322 7856368 8460704 13748644 15712736 27497288 54994576 109989152