Search a number
-
+
32074020 = 223251197167
BaseRepresentation
bin111101001011…
…0100100100100
32020100112021200
41322112210210
531202332040
63103242500
7536424156
oct172264444
966315250
1032074020
1117117760
12a8a9430
136850014
14438cad6
152c38630
hex1e96924

32074020 has 144 divisors (see below), whose sum is σ = 107872128. Its totient is φ = 7649280.

The previous prime is 32073991. The next prime is 32074043. The reversal of 32074020 is 2047023.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 32073984 and 32074002.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 191977 + ... + 192143.

It is an arithmetic number, because the mean of its divisors is an integer number (749112).

Almost surely, 232074020 is an apocalyptic number.

32074020 is a gapful number since it is divisible by the number (30) 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 32074020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53936064).

32074020 is an abundant number, since it is smaller than the sum of its proper divisors (75798108).

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

32074020 is a wasteful number, since it uses less digits than its factorization.

32074020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 285 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

The square root of 32074020 is about 5663.3929759465. The cubic root of 32074020 is about 317.7248123627.

It can be divided in two parts, 3207 and 4020, that added together give a palindrome (7227).

The spelling of 32074020 in words is "thirty-two million, seventy-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 97 99 110 132 165 167 180 194 198 220 291 330 334 388 396 485 495 501 582 660 668 835 873 970 990 1002 1067 1164 1455 1503 1670 1746 1837 1940 1980 2004 2134 2505 2910 3006 3201 3340 3492 3674 4268 4365 5010 5335 5511 5820 6012 6402 7348 7515 8730 9185 9603 10020 10670 11022 12804 15030 16005 16199 16533 17460 18370 19206 21340 22044 27555 30060 32010 32398 33066 36740 38412 48015 48597 55110 64020 64796 66132 80995 82665 96030 97194 110220 145791 161990 165330 178189 192060 194388 242985 291582 323980 330660 356378 485970 534567 583164 712756 728955 890945 971940 1069134 1457910 1603701 1781890 2138268 2672835 2915820 3207402 3563780 5345670 6414804 8018505 10691340 16037010 32074020