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24130040 = 23511173317
BaseRepresentation
bin101110000001…
…1000111111000
31200101221012012
41130003013320
522134130130
62221105052
7412046654
oct134030770
950357165
1024130040
1112691290
1280b8188
134ccb23c
1432c1a64
1521b9995
hex17031f8

24130040 has 64 divisors (see below), whose sum is σ = 59758560. Its totient is φ = 8696320.

The previous prime is 24130027. The next prime is 24130049. The reversal of 24130040 is 4003142.

It is a junction number, because it is equal to n+sod(n) for n = 24129997 and 24130024.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (24130049) 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, 75962 + ... + 76278.

Almost surely, 224130040 is an apocalyptic number.

24130040 is a gapful number since it is divisible by the number (20) 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 24130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29879280).

24130040 is an abundant number, since it is smaller than the sum of its proper divisors (35628520).

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

24130040 is a wasteful number, since it uses less digits than its factorization.

24130040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 512 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 24130040 is about 4912.2337077953. The cubic root of 24130040 is about 288.9699485441.

Adding to 24130040 its reverse (4003142), we get a palindrome (28133182).

It can be divided in two parts, 2 and 4130040, that multiplied together give a triangular number (8260080 = T4064).

The spelling of 24130040 in words is "twenty-four million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 173 220 317 346 440 634 692 865 1268 1384 1585 1730 1903 2536 3170 3460 3487 3806 6340 6920 6974 7612 9515 12680 13948 15224 17435 19030 27896 34870 38060 54841 69740 76120 109682 139480 219364 274205 438728 548410 603251 1096820 1206502 2193640 2413004 3016255 4826008 6032510 12065020 24130040