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12161088 = 263243491
BaseRepresentation
bin101110011001…
…000001000000
3211212211212200
4232121001000
511103123323
61112353200
7205240032
oct56310100
924784780
1012161088
116956895
1240a5800
13269a414
141887c52
151103443
hexb99040

12161088 has 84 divisors (see below), whose sum is σ = 35740848. Its totient is φ = 3951360.

The previous prime is 12161053. The next prime is 12161099. The reversal of 12161088 is 88016121.

It is a super-2 number, since 2×121610882 = 295784122687488, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 24523 + ... + 25013.

Almost surely, 212161088 is an apocalyptic number.

12161088 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 12161088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17870424).

12161088 is an abundant number, since it is smaller than the sum of its proper divisors (23579760).

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

12161088 is a wasteful number, since it uses less digits than its factorization.

12161088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 552 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

The square root of 12161088 is about 3487.2751540422. The cubic root of 12161088 is about 229.9627412866.

It can be divided in two parts, 1216 and 1088, that added together give a square (2304 = 482).

The spelling of 12161088 in words is "twelve million, one hundred sixty-one thousand, eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 43 48 64 72 86 96 129 144 172 192 258 288 344 387 491 516 576 688 774 982 1032 1376 1473 1548 1964 2064 2752 2946 3096 3928 4128 4419 5892 6192 7856 8256 8838 11784 12384 15712 17676 21113 23568 24768 31424 35352 42226 47136 63339 70704 84452 94272 126678 141408 168904 190017 253356 282816 337808 380034 506712 675616 760068 1013424 1351232 1520136 2026848 3040272 4053696 6080544 12161088