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11575940 = 2251941743
BaseRepresentation
bin101100001010…
…001010000100
3210210010012112
4230022022010
510430412230
61052040152
7200252045
oct54121204
923703175
1011575940
1165971a2
123a63058
132523c8c
1417748cc
151039d95
hexb0a284

11575940 has 48 divisors (see below), whose sum is σ = 26248320. Its totient is φ = 4273920.

The previous prime is 11575933. The next prime is 11575943. The reversal of 11575940 is 4957511.

It is a junction number, because it is equal to n+sod(n) for n = 11575897 and 11575906.

It is not an unprimeable number, because it can be changed into a prime (11575943) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15209 + ... + 15951.

It is an arithmetic number, because the mean of its divisors is an integer number (546840).

Almost surely, 211575940 is an apocalyptic number.

11575940 is a gapful number since it is divisible by the number (10) 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 11575940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13124160).

11575940 is an abundant number, since it is smaller than the sum of its proper divisors (14672380).

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

11575940 is a wasteful number, since it uses less digits than its factorization.

11575940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 32.

The square root of 11575940 is about 3402.3433101320. The cubic root of 11575940 is about 226.2136231617.

The spelling of 11575940 in words is "eleven million, five hundred seventy-five thousand, nine hundred forty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 164 190 205 380 410 743 779 820 1486 1558 2972 3116 3715 3895 7430 7790 14117 14860 15580 28234 30463 56468 60926 70585 121852 141170 152315 282340 304630 578797 609260 1157594 2315188 2893985 5787970 11575940