Search a number
-
+
75168870 = 23572912343
BaseRepresentation
bin1000111101011…
…11110001100110
312020102222022020
410132233301212
5123220400440
611243044010
71601632140
oct436576146
9166388266
1075168870
1139481537
1221210606
131275b42a
149da9c90
1568ec3d0
hex47afc66

75168870 has 64 divisors (see below), whose sum is σ = 213304320. Its totient is φ = 16587648.

The previous prime is 75168869. The next prime is 75168901. The reversal of 75168870 is 7886157.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82 + ... + 12261.

It is an arithmetic number, because the mean of its divisors is an integer number (3332880).

Almost surely, 275168870 is an apocalyptic number.

75168870 is a gapful number since it is divisible by the number (70) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 75168870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106652160).

75168870 is an abundant number, since it is smaller than the sum of its proper divisors (138135450).

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

75168870 is a wasteful number, since it uses less digits than its factorization.

75168870 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12389.

The product of its (nonzero) digits is 94080, while the sum is 42.

The square root of 75168870 is about 8669.9982698960. The cubic root of 75168870 is about 422.0326075595.

The spelling of 75168870 in words is "seventy-five million, one hundred sixty-eight thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3045 6090 12343 24686 37029 61715 74058 86401 123430 172802 185145 259203 357947 370290 432005 518406 715894 864010 1073841 1296015 1789735 2147682 2505629 2592030 3579470 5011258 5369205 7516887 10738410 12528145 15033774 25056290 37584435 75168870