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11995128 = 2334107173
BaseRepresentation
bin101101110000…
…011111111000
3211120102020000
4231300133320
511032321003
61105033000
7203646135
oct55603770
924512200
1011995128
116853132
124025760
13263ca12
14184358c
1510be1a3
hexb707f8

11995128 has 80 divisors (see below), whose sum is σ = 34107480. Its totient is φ = 3938112.

The previous prime is 11995091. The next prime is 11995129. The reversal of 11995128 is 82159911.

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

It is a junction number, because it is equal to n+sod(n) for n = 11995092 and 11995101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11995129) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 69250 + ... + 69422.

Almost surely, 211995128 is an apocalyptic number.

11995128 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 11995128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17053740).

11995128 is an abundant number, since it is smaller than the sum of its proper divisors (22112352).

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

11995128 is a wasteful number, since it uses less digits than its factorization.

11995128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 298 (or 285 counting only the distinct ones).

The product of its digits is 6480, while the sum is 36.

The square root of 11995128 is about 3463.3983311193. The cubic root of 11995128 is about 228.9118607178.

The spelling of 11995128 in words is "eleven million, nine hundred ninety-five thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 107 108 162 173 214 216 321 324 346 428 519 642 648 692 856 963 1038 1284 1384 1557 1926 2076 2568 2889 3114 3852 4152 4671 5778 6228 7704 8667 9342 11556 12456 14013 17334 18511 18684 23112 28026 34668 37022 37368 55533 56052 69336 74044 111066 112104 148088 166599 222132 333198 444264 499797 666396 999594 1332792 1499391 1999188 2998782 3998376 5997564 11995128