Search a number
-
+
1128917088 = 25341333503
BaseRepresentation
bin100001101001001…
…1110100001100000
32220200020221010000
41003102132201200
54303000321323
6304004340000
736655431315
oct10322364140
92820227100
101128917088
1152a276132
122760a4600
1314cb66aa0
14a9d08d0c
1569198e43
hex4349e860

1128917088 has 120 divisors (see below), whose sum is σ = 3575613888. Its totient is φ = 347348736.

The previous prime is 1128917077. The next prime is 1128917093. The reversal of 1128917088 is 8807198211.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 16945 + ... + 50447.

Almost surely, 21128917088 is an apocalyptic number.

1128917088 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 1128917088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1787806944).

1128917088 is an abundant number, since it is smaller than the sum of its proper divisors (2446696800).

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

1128917088 is a wasteful number, since it uses less digits than its factorization.

1128917088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33538 (or 33521 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 45.

The square root of 1128917088 is about 33599.3614225033. The cubic root of 1128917088 is about 1041.2476053127.

The spelling of 1128917088 in words is "one billion, one hundred twenty-eight million, nine hundred seventeen thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33503 33696 67006 100509 134012 201018 268024 301527 402036 435539 536048 603054 804072 871078 904581 1072096 1206108 1306617 1608144 1742156 1809162 2412216 2613234 2713743 3216288 3484312 3618324 3919851 4824432 5226468 5427486 6968624 7236648 7839702 9648864 10452936 10854972 11759553 13937248 14473296 15679404 20905872 21709944 23519106 28946592 31358808 35278659 41811744 43419888 47038212 62717616 70557318 86839776 94076424 125435232 141114636 188152848 282229272 376305696 564458544 1128917088