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40720134 = 237131741107
BaseRepresentation
bin1001101101010…
…1011100000110
32211121210112010
42123111130012
540411021014
64012435050
71003054410
oct233253406
984553463
1040720134
1120a92704
1211778a86
138589570
14559d9b0
153895359
hex26d5706

40720134 has 128 divisors (see below), whose sum is σ = 109734912. Its totient is φ = 9768960.

The previous prime is 40720129. The next prime is 40720153. The reversal of 40720134 is 43102704.

40720134 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 40720134.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 380509 + ... + 380615.

It is an arithmetic number, because the mean of its divisors is an integer number (857304).

Almost surely, 240720134 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40720134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54867456).

40720134 is an abundant number, since it is smaller than the sum of its proper divisors (69014778).

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

40720134 is a wasteful number, since it uses less digits than its factorization.

40720134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190.

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 40720134 is about 6381.2329529645. The cubic root of 40720134 is about 344.0353476838.

Adding to 40720134 its reverse (43102704), we get a palindrome (83822838).

The spelling of 40720134 in words is "forty million, seven hundred twenty thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 17 21 26 34 39 41 42 51 78 82 91 102 107 119 123 182 214 221 238 246 273 287 321 357 442 533 546 574 642 663 697 714 749 861 1066 1326 1391 1394 1498 1547 1599 1722 1819 2091 2247 2782 3094 3198 3638 3731 4173 4182 4387 4494 4641 4879 5457 7462 8346 8774 9061 9282 9737 9758 10914 11193 12733 13161 14637 18122 19474 22386 23647 25466 26322 27183 29211 29274 30709 38199 47294 54366 57031 58422 61418 63427 70941 74579 76398 92127 114062 126854 141882 149158 165529 171093 184254 190281 223737 331058 342186 380562 399217 447474 496587 522053 798434 969527 993174 1044106 1197651 1566159 1939054 2395302 2908581 3132318 5817162 6786689 13573378 20360067 40720134