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240213428 = 227131947739
BaseRepresentation
bin11100101000101…
…01110110110100
3121202000002212122
432110111312310
5442443312203
635500335112
75644531460
oct1624256664
9552002778
10240213428
111136599a4
1268544498
133a9c7030
1423c8d4a0
151614e538
hexe515db4

240213428 has 96 divisors (see below), whose sum is σ = 556953600. Its totient is φ = 87993216.

The previous prime is 240213427. The next prime is 240213431. The reversal of 240213428 is 824312042.

It is a super-2 number, since 2×2402134282 = 115404981983022368, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 240213397 and 240213406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (240213427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 324683 + ... + 325421.

It is an arithmetic number, because the mean of its divisors is an integer number (5801600).

Almost surely, 2240213428 is an apocalyptic number.

240213428 is a gapful number since it is divisible by the number (28) 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 240213428, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278476800).

240213428 is an abundant number, since it is smaller than the sum of its proper divisors (316740172).

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

240213428 is a wasteful number, since it uses less digits than its factorization.

240213428 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 829 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 26.

The square root of 240213428 is about 15498.8202131646. The cubic root of 240213428 is about 621.6306606169.

The spelling of 240213428 in words is "two hundred forty million, two hundred thirteen thousand, four hundred twenty-eight".

Divisors: 1 2 4 7 13 14 19 26 28 38 47 52 76 91 94 133 182 188 247 266 329 364 494 532 611 658 739 893 988 1222 1316 1478 1729 1786 2444 2956 3458 3572 4277 5173 6251 6916 8554 9607 10346 11609 12502 14041 17108 19214 20692 23218 25004 28082 34733 38428 46436 56164 67249 69466 81263 98287 134498 138932 162526 182533 196574 243131 268996 325052 365066 393148 451529 486262 659927 730132 903058 972524 1277731 1319854 1806116 2555462 2639708 3160703 4619489 5110924 6321406 8579051 9238978 12642812 17158102 18477956 34316204 60053357 120106714 240213428