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133848440 = 235111072843
BaseRepresentation
bin1111111101001…
…01110101111000
3100022212012112122
413332211311320
5233231122230
621140500412
73213456455
oct776456570
9308765478
10133848440
1169610350
12389aa708
132196537b
1413ac282c
15bb3dbe5
hex7fa5d78

133848440 has 64 divisors (see below), whose sum is σ = 331724160. Its totient is φ = 48200320.

The previous prime is 133848437. The next prime is 133848443. The reversal of 133848440 is 44848331.

It is an interprime number because it is at equal distance from previous prime (133848437) and next prime (133848443).

It is a self number, because there is not a number n which added to its sum of digits gives 133848440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133848443) 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, 45659 + ... + 48501.

It is an arithmetic number, because the mean of its divisors is an integer number (5183190).

Almost surely, 2133848440 is an apocalyptic number.

133848440 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 133848440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165862080).

133848440 is an abundant number, since it is smaller than the sum of its proper divisors (197875720).

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

133848440 is a wasteful number, since it uses less digits than its factorization.

133848440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2972 (or 2968 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 35.

The square root of 133848440 is about 11569.2886557472. The cubic root of 133848440 is about 511.5299947024.

The spelling of 133848440 in words is "one hundred thirty-three million, eight hundred forty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 107 110 214 220 428 440 535 856 1070 1177 2140 2354 2843 4280 4708 5686 5885 9416 11372 11770 14215 22744 23540 28430 31273 47080 56860 62546 113720 125092 156365 250184 304201 312730 608402 625460 1216804 1250920 1521005 2433608 3042010 3346211 6084020 6692422 12168040 13384844 16731055 26769688 33462110 66924220 133848440