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1089893088 = 2532231371201
BaseRepresentation
bin100000011110110…
…0111001011100000
32210221211022020200
41000331213023200
54213003034323
6300052105200
736002636604
oct10075471340
92727738220
101089893088
1150a241899
12265005200
13144a5256b
14a4a6b504
1565a3b443
hex40f672e0

1089893088 has 144 divisors (see below), whose sum is σ = 3260458656. Its totient is φ = 344678400.

The previous prime is 1089893059. The next prime is 1089893117. The reversal of 1089893088 is 8803989801.

It is an interprime number because it is at equal distance from previous prime (1089893059) and next prime (1089893117).

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 906888 + ... + 908088.

It is an arithmetic number, because the mean of its divisors is an integer number (22642074).

Almost surely, 21089893088 is an apocalyptic number.

1089893088 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 1089893088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1630229328).

1089893088 is an abundant number, since it is smaller than the sum of its proper divisors (2170565568).

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

1089893088 is a wasteful number, since it uses less digits than its factorization.

1089893088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1377 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The square root of 1089893088 is about 33013.5288631797. The cubic root of 1089893088 is about 1029.1088178630.

The spelling of 1089893088 in words is "one billion, eighty-nine million, eight hundred ninety-three thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 69 72 92 96 137 138 144 184 207 274 276 288 368 411 414 548 552 736 822 828 1096 1104 1201 1233 1644 1656 2192 2208 2402 2466 3151 3288 3312 3603 4384 4804 4932 6302 6576 6624 7206 9453 9608 9864 10809 12604 13152 14412 18906 19216 19728 21618 25208 27623 28359 28824 37812 38432 39456 43236 50416 55246 56718 57648 75624 82869 86472 100832 110492 113436 115296 151248 164537 165738 172944 220984 226872 248607 302496 329074 331476 345888 441968 453744 493611 497214 658148 662952 883936 907488 987222 994428 1316296 1325904 1480833 1974444 1988856 2632592 2651808 2961666 3784351 3948888 3977712 5265184 5923332 7568702 7897776 7955424 11353053 11846664 15137404 15795552 22706106 23693328 30274808 34059159 45412212 47386656 60549616 68118318 90824424 121099232 136236636 181648848 272473272 363297696 544946544 1089893088