Search a number
-
+
32073404120 = 2353722699551
BaseRepresentation
bin11101110111101110…
…010100111011011000
310001210020202202010022
4131313232110323120
51011141242412440
622422340210012
72213544302552
oct356756247330
9101706682108
1032073404120
111266966725a
126271399908
133041b00544
1417a39704d2
15c7ab8acb5
hex777b94ed8

32073404120 has 64 divisors (see below), whose sum is σ = 74155996800. Its totient is φ = 12475814400.

The previous prime is 32073404087. The next prime is 32073404123. The reversal of 32073404120 is 2140437023.

It is a self number, because there is not a number n which added to its sum of digits gives 32073404120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32073404123) 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, 3353345 + ... + 3362895.

It is an arithmetic number, because the mean of its divisors is an integer number (1158687450).

Almost surely, 232073404120 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 32073404120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37077998400).

32073404120 is an abundant number, since it is smaller than the sum of its proper divisors (42082592680).

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

32073404120 is a wasteful number, since it uses less digits than its factorization.

32073404120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11868 (or 11864 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 26.

The spelling of 32073404120 in words is "thirty-two billion, seventy-three million, four hundred four thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 2269 4538 9076 9551 11345 18152 19102 22690 38204 45380 47755 76408 83953 90760 95510 167906 191020 335812 353387 382040 419765 671624 706774 839530 1413548 1679060 1766935 2827096 3358120 3533870 7067740 14135480 21671219 43342438 86684876 108356095 173369752 216712190 433424380 801835103 866848760 1603670206 3207340412 4009175515 6414680824 8018351030 16036702060 32073404120