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18136032 = 2531961163
BaseRepresentation
bin100010100101…
…1101111100000
31021010101221220
41011023233200
514120323112
61444415040
7310103505
oct105135740
937111856
1018136032
11a267962
1260a7480
1339acba5
1425a14ac
1518d398c
hex114bbe0

18136032 has 96 divisors (see below), whose sum is σ = 51246720. Its totient is φ = 5598720.

The previous prime is 18136007. The next prime is 18136043. The reversal of 18136032 is 23063181.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 18135993 and 18136011.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 111183 + ... + 111345.

It is an arithmetic number, because the mean of its divisors is an integer number (533820).

Almost surely, 218136032 is an apocalyptic number.

18136032 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 18136032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25623360).

18136032 is an abundant number, since it is smaller than the sum of its proper divisors (33110688).

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

18136032 is a wasteful number, since it uses less digits than its factorization.

18136032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 248 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 18136032 is about 4258.6420370818. The cubic root of 18136032 is about 262.7326771433.

The spelling of 18136032 in words is "eighteen million, one hundred thirty-six thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 19 24 32 38 48 57 61 76 96 114 122 152 163 183 228 244 304 326 366 456 488 489 608 652 732 912 976 978 1159 1304 1464 1824 1952 1956 2318 2608 2928 3097 3477 3912 4636 5216 5856 6194 6954 7824 9272 9291 9943 12388 13908 15648 18544 18582 19886 24776 27816 29829 37088 37164 39772 49552 55632 59658 74328 79544 99104 111264 119316 148656 159088 188917 238632 297312 318176 377834 477264 566751 755668 954528 1133502 1511336 2267004 3022672 4534008 6045344 9068016 18136032