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1089597312 = 2733378521
BaseRepresentation
bin100000011110001…
…1110111110000000
32210221021021112000
41000330132332000
54212414103222
6300041504000
736000265356
oct10074367600
92727237460
101089597312
1150a05a651
12264aa2000
1314497aa4b
14a49d17d6
15659cd9ac
hex40f1ef80

1089597312 has 128 divisors (see below), whose sum is σ = 3303127200. Its totient is φ = 353341440.

The previous prime is 1089597307. The next prime is 1089597319. The reversal of 1089597312 is 2137959801.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1089597319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123612 + ... + 132132.

Almost surely, 21089597312 is an apocalyptic number.

1089597312 is a gapful number since it is divisible by the number (12) 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 1089597312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651563600).

1089597312 is an abundant number, since it is smaller than the sum of its proper divisors (2213529888).

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

1089597312 is an equidigital number, since it uses as much as digits as its factorization.

1089597312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581 (or 8563 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 1089597312 is about 33009.0489411616. The cubic root of 1089597312 is about 1029.0157160006.

The spelling of 1089597312 in words is "one billion, eighty-nine million, five hundred ninety-seven thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 37 48 54 64 72 74 96 108 111 128 144 148 192 216 222 288 296 333 384 432 444 576 592 666 864 888 999 1152 1184 1332 1728 1776 1998 2368 2664 3456 3552 3996 4736 5328 7104 7992 8521 10656 14208 15984 17042 21312 25563 31968 34084 42624 51126 63936 68168 76689 102252 127872 136336 153378 204504 230067 272672 306756 315277 409008 460134 545344 613512 630554 818016 920268 945831 1090688 1227024 1261108 1636032 1840536 1891662 2454048 2522216 2837493 3272064 3681072 3783324 4908096 5044432 5674986 7362144 7566648 8512479 9816192 10088864 11349972 14724288 15133296 17024958 20177728 22699944 29448576 30266592 34049916 40355456 45399888 60533184 68099832 90799776 121066368 136199664 181599552 272399328 363199104 544798656 1089597312