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11354490 = 2325767269
BaseRepresentation
bin101011010100…
…000101111010
3210100212102200
4223110011322
510401320430
61043211030
7165340320
oct53240572
923325380
1011354490
116455884
123976a76
132477244
141717d10
15ee4460
hexad417a

11354490 has 96 divisors (see below), whose sum is σ = 34369920. Its totient is φ = 2547072.

The previous prime is 11354477. The next prime is 11354503. The reversal of 11354490 is 9445311.

11354490 is a `hidden beast` number, since 113 + 544 + 9 + 0 = 666.

11354490 is nontrivially palindromic in base 4.

11354490 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11354477) and next prime (11354503).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42076 + ... + 42344.

It is an arithmetic number, because the mean of its divisors is an integer number (358020).

Almost surely, 211354490 is an apocalyptic number.

11354490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11354490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17184960).

11354490 is an abundant number, since it is smaller than the sum of its proper divisors (23015430).

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

11354490 is a wasteful number, since it uses less digits than its factorization.

11354490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 353 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 11354490 is about 3369.6424142630. The cubic root of 11354490 is about 224.7618220353.

It can be divided in two parts, 1135 and 4490, that added together give a square (5625 = 752).

The spelling of 11354490 in words is "eleven million, three hundred fifty-four thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 67 70 90 105 126 134 201 210 269 315 335 402 469 538 603 630 670 807 938 1005 1206 1345 1407 1614 1883 2010 2345 2421 2690 2814 3015 3766 4035 4221 4690 4842 5649 6030 7035 8070 8442 9415 11298 12105 14070 16947 18023 18830 21105 24210 28245 33894 36046 42210 54069 56490 84735 90115 108138 126161 162207 169470 180230 252322 270345 324414 378483 540690 630805 756966 811035 1135449 1261610 1622070 1892415 2270898 3784830 5677245 11354490