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1088391168 = 211312
BaseRepresentation
bin100000011011111…
…1000100000000000
32210212000000000000
41000313320200000
54212112004133
6300000000000
735654113044
oct10067704000
92725000000
101088391168
11509406437
12264600000
13144647a57
14a479a024
1565841413
hex40df8800

1088391168 has 156 divisors (see below), whose sum is σ = 3264374295. Its totient is φ = 362797056.

The previous prime is 1088391131. The next prime is 1088391169. The reversal of 1088391168 is 8611938801.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 544195584 + 544195584 = 23328^2 + 23328^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=23328.

It is a nialpdrome in base 6.

It is not an unprimeable number, because it can be changed into a prime (1088391169) by changing a digit.

It is a polite number, since it can be written in 12 ways as a sum of consecutive naturals, for example, 362797055 + 362797056 + 362797057.

Almost surely, 21088391168 is an apocalyptic number.

1088391168 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 1088391168

1088391168 is an abundant number, since it is smaller than the sum of its proper divisors (2175983127).

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

1088391168 is an frugal number, since it uses more digits than its factorization.

1088391168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58 (or 5 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The square root of 1088391168 is about 32990.7739830396. The cubic root of 1088391168 is about 1028.6358816754.

The spelling of 1088391168 in words is "one billion, eighty-eight million, three hundred ninety-one thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 243 256 288 324 384 432 486 512 576 648 729 768 864 972 1024 1152 1296 1458 1536 1728 1944 2048 2187 2304 2592 2916 3072 3456 3888 4374 4608 5184 5832 6144 6561 6912 7776 8748 9216 10368 11664 13122 13824 15552 17496 18432 19683 20736 23328 26244 27648 31104 34992 39366 41472 46656 52488 55296 59049 62208 69984 78732 82944 93312 104976 118098 124416 139968 157464 165888 177147 186624 209952 236196 248832 279936 314928 354294 373248 419904 472392 497664 531441 559872 629856 708588 746496 839808 944784 1062882 1119744 1259712 1417176 1492992 1679616 1889568 2125764 2239488 2519424 2834352 3359232 3779136 4251528 4478976 5038848 5668704 6718464 7558272 8503056 10077696 11337408 13436928 15116544 17006112 20155392 22674816 30233088 34012224 40310784 45349632 60466176 68024448 90699264 120932352 136048896 181398528 272097792 362797056 544195584 1088391168