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10990188 = 2233112292
BaseRepresentation
bin101001111011…
…001001101100
3202200100201000
4221323021230
510303141223
61031320300
7162262236
oct51731154
922610630
1010990188
116227100
123820090
13237a491
141661256
15e71543
hexa7b26c

10990188 has 108 divisors (see below), whose sum is σ = 32436040. Its totient is φ = 3215520.

The previous prime is 10990183. The next prime is 10990219. The reversal of 10990188 is 88109901.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10990181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 378958 + ... + 378986.

Almost surely, 210990188 is an apocalyptic number.

10990188 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 10990188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16218020).

10990188 is an abundant number, since it is smaller than the sum of its proper divisors (21445852).

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

10990188 is a wasteful number, since it uses less digits than its factorization.

10990188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 45 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 36.

The square root of 10990188 is about 3315.1452456868. The cubic root of 10990188 is about 222.3318630443.

The spelling of 10990188 in words is "ten million, nine hundred ninety thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 29 33 36 44 54 58 66 87 99 108 116 121 132 174 198 242 261 297 319 348 363 396 484 522 594 638 726 783 841 957 1044 1089 1188 1276 1452 1566 1682 1914 2178 2523 2871 3132 3267 3364 3509 3828 4356 5046 5742 6534 7018 7569 8613 9251 10092 10527 11484 13068 14036 15138 17226 18502 21054 22707 27753 30276 31581 34452 37004 42108 45414 55506 63162 83259 90828 94743 101761 111012 126324 166518 189486 203522 249777 305283 333036 378972 407044 499554 610566 915849 999108 1221132 1831698 2747547 3663396 5495094 10990188