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240412130 = 2574171931
BaseRepresentation
bin11100101010001…
…10010111100010
3121202101012102222
432111012113202
5443021142010
635504511042
75646320000
oct1625062742
9552335388
10240412130
11113785212
126861b482
133aa665ca
1423d01a70
151618d355
hexe5465e2

240412130 has 160 divisors (see below), whose sum is σ = 580815360. Its totient is φ = 71124480.

The previous prime is 240412129. The next prime is 240412171. The reversal of 240412130 is 31214042.

240412130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2404121302 = 115595984502273800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a junction number, because it is equal to n+sod(n) for n = 240412099 and 240412108.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 7755215 + ... + 7755245.

It is an arithmetic number, because the mean of its divisors is an integer number (3630096).

Almost surely, 2240412130 is an apocalyptic number.

240412130 is an abundant number, since it is smaller than the sum of its proper divisors (340403230).

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

240412130 is a wasteful number, since it uses less digits than its factorization.

240412130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 240412130 is about 15505.2291179460. The cubic root of 240412130 is about 621.8020154745.

Adding to 240412130 its reverse (31214042), we get a palindrome (271626172).

The spelling of 240412130 in words is "two hundred forty million, four hundred twelve thousand, one hundred thirty".

Divisors: 1 2 5 7 10 14 17 19 31 34 35 38 49 62 70 85 95 98 119 133 155 170 190 217 238 245 266 310 323 343 434 490 527 589 595 646 665 686 833 931 1054 1085 1178 1190 1330 1519 1615 1666 1715 1862 2170 2261 2401 2635 2945 3038 3230 3430 3689 4123 4165 4522 4655 4802 5270 5831 5890 6517 7378 7595 8246 8330 9310 10013 10633 11305 11662 12005 13034 15190 15827 18445 20026 20615 21266 22610 24010 25823 28861 29155 31654 32585 36890 40817 41230 45619 50065 51646 53165 57722 58310 65170 70091 74431 79135 81634 91238 100130 106330 110789 129115 140182 144305 148862 158270 180761 202027 204085 221578 228095 258230 288610 350455 361522 372155 404054 408170 456190 490637 553945 700910 744310 775523 903805 981274 1010135 1107890 1265327 1414189 1551046 1807610 2020270 2453185 2530654 2828378 3434459 3877615 4906370 6326635 6868918 7070945 7755230 12653270 14141890 17172295 24041213 34344590 48082426 120206065 240412130