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1090386312 = 233293197521
BaseRepresentation
bin100000011111101…
…1111100110001000
32210222202100211020
41000333133212020
54213114330222
6300110432440
736010062561
oct10077374610
92728670736
101090386312
1150a549414
12265202720
13144b95c02
14a4b59168
1565ad765c
hex40fdf988

1090386312 has 128 divisors (see below), whose sum is σ = 2946585600. Its totient is φ = 335462400.

The previous prime is 1090386287. The next prime is 1090386373. The reversal of 1090386312 is 2136830901.

It is a super-2 number, since 2×10903863122 = 2377884618793922688, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2092612 + ... + 2093132.

It is an arithmetic number, because the mean of its divisors is an integer number (23020200).

Almost surely, 21090386312 is an apocalyptic number.

1090386312 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 1090386312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1473292800).

1090386312 is an abundant number, since it is smaller than the sum of its proper divisors (1856199288).

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

1090386312 is a wasteful number, since it uses less digits than its factorization.

1090386312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 687 (or 683 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 1090386312 is about 33020.9980466975. The cubic root of 1090386312 is about 1029.2640332766.

The spelling of 1090386312 in words is "one billion, ninety million, three hundred eighty-six thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 29 31 58 62 87 93 97 116 124 174 186 194 232 248 291 348 372 388 521 582 696 744 776 899 1042 1164 1563 1798 2084 2328 2697 2813 3007 3126 3596 4168 5394 5626 6014 6252 7192 8439 9021 10788 11252 12028 12504 15109 16151 16878 18042 21576 22504 24056 30218 32302 33756 36084 45327 48453 50537 60436 64604 67512 72168 87203 90654 96906 101074 120872 129208 151611 174406 181308 193812 202148 261609 303222 348812 362616 387624 404296 468379 523218 606444 697624 936758 1046436 1212888 1405137 1465573 1566647 1873516 2092872 2810274 2931146 3133294 3747032 4396719 4699941 5620548 5862292 6266588 8793438 9399882 11241096 11724584 12533176 17586876 18799764 35173752 37599528 45432763 90865526 136298289 181731052 272596578 363462104 545193156 1090386312