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134888440 = 23531181601
BaseRepresentation
bin10000000101000…
…11101111111000
3100101211001011011
420002203233320
5234012412230
621215043304
73225350521
oct1002435770
9311731134
10134888440
116a160755
1239210534
1321c3a85b
1413cb3848
15bc96e2a
hex80a3bf8

134888440 has 64 divisors (see below), whose sum is σ = 315544320. Its totient is φ = 51840000.

The previous prime is 134888437. The next prime is 134888441. The reversal of 134888440 is 44888431.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 134888393 and 134888402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134888441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224140 + ... + 224740.

It is an arithmetic number, because the mean of its divisors is an integer number (4930380).

Almost surely, 2134888440 is an apocalyptic number.

134888440 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 134888440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157772160).

134888440 is an abundant number, since it is smaller than the sum of its proper divisors (180655880).

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

134888440 is a wasteful number, since it uses less digits than its factorization.

134888440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 40.

The square root of 134888440 is about 11614.1482683837. The cubic root of 134888440 is about 512.8514377154.

Subtracting from 134888440 its reverse (44888431), we obtain a palindrome (90000009).

The spelling of 134888440 in words is "one hundred thirty-four million, eight hundred eighty-eight thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 124 155 181 248 310 362 601 620 724 905 1202 1240 1448 1810 2404 3005 3620 4808 5611 6010 7240 11222 12020 18631 22444 24040 28055 37262 44888 56110 74524 93155 108781 112220 149048 186310 217562 224440 372620 435124 543905 745240 870248 1087810 2175620 3372211 4351240 6744422 13488844 16861055 26977688 33722110 67444220 134888440