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11329632 = 25353147
BaseRepresentation
bin101011001110…
…000001100000
3210022121100000
4223032001200
510400022012
61042500000
7165204666
oct53160140
923277300
1011329632
116439136
123964600
132468b32
14170cc36
15edbddc
hexace060

11329632 has 144 divisors (see below), whose sum is σ = 35223552. Its totient is φ = 3576960.

The previous prime is 11329631. The next prime is 11329649. The reversal of 11329632 is 23692311.

11329632 is a `hidden beast` number, since 1 + 1 + 3 + 29 + 632 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×113296322 = 256721122510848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11329596 and 11329605.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11329631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 241033 + ... + 241079.

It is an arithmetic number, because the mean of its divisors is an integer number (244608).

Almost surely, 211329632 is an apocalyptic number.

11329632 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 11329632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17611776).

11329632 is an abundant number, since it is smaller than the sum of its proper divisors (23893920).

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

11329632 is an equidigital number, since it uses as much as digits as its factorization.

11329632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 83 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

The square root of 11329632 is about 3365.9518713137. The cubic root of 11329632 is about 224.5976810486.

The spelling of 11329632 in words is "eleven million, three hundred twenty-nine thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 47 48 54 62 72 81 93 94 96 108 124 141 144 162 186 188 216 243 248 279 282 288 324 372 376 423 432 486 496 558 564 648 744 752 837 846 864 972 992 1116 1128 1269 1296 1457 1488 1504 1674 1692 1944 2232 2256 2511 2538 2592 2914 2976 3348 3384 3807 3888 4371 4464 4512 5022 5076 5828 6696 6768 7533 7614 7776 8742 8928 10044 10152 11421 11656 13113 13392 13536 15066 15228 17484 20088 20304 22842 23312 26226 26784 30132 30456 34968 39339 40176 40608 45684 46624 52452 60264 60912 69936 78678 80352 91368 104904 118017 120528 121824 139872 157356 182736 209808 236034 241056 314712 354051 365472 419616 472068 629424 708102 944136 1258848 1416204 1888272 2832408 3776544 5664816 11329632