Search a number
-
+
79540704 = 253553193
BaseRepresentation
bin1001011110110…
…11000111100000
312112200002100000
410233123013200
5130330300304
611520500000
71654041045
oct457330740
9175602300
1079540704
1140998121
122277a600
131362c309
14a7c71cc
156eb2939
hex4bdb1e0

79540704 has 144 divisors (see below), whose sum is σ = 240235632. Its totient is φ = 25878528.

The previous prime is 79540667. The next prime is 79540717. The reversal of 79540704 is 40704597.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 412032 + ... + 412224.

It is an arithmetic number, because the mean of its divisors is an integer number (1668303).

Almost surely, 279540704 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 79540704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120117816).

79540704 is an abundant number, since it is smaller than the sum of its proper divisors (160694928).

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

79540704 is a wasteful number, since it uses less digits than its factorization.

79540704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 36.

The square root of 79540704 is about 8918.5595249457. The cubic root of 79540704 is about 430.0607521879.

The spelling of 79540704 in words is "seventy-nine million, five hundred forty thousand, seven hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 53 54 72 81 96 106 108 144 159 162 193 212 216 243 288 318 324 386 424 432 477 486 579 636 648 772 848 864 954 972 1158 1272 1296 1431 1544 1696 1737 1908 1944 2316 2544 2592 2862 3088 3474 3816 3888 4293 4632 5088 5211 5724 6176 6948 7632 7776 8586 9264 10229 10422 11448 12879 13896 15264 15633 17172 18528 20458 20844 22896 25758 27792 30687 31266 34344 40916 41688 45792 46899 51516 55584 61374 62532 68688 81832 83376 92061 93798 103032 122748 125064 137376 163664 166752 184122 187596 206064 245496 250128 276183 327328 368244 375192 412128 490992 500256 552366 736488 750384 828549 981984 1104732 1472976 1500768 1657098 2209464 2485647 2945952 3314196 4418928 4971294 6628392 8837856 9942588 13256784 19885176 26513568 39770352 79540704