Search a number
-
+
32172140 = 225711131607
BaseRepresentation
bin111101010111…
…0100001101100
32020112111212202
41322232201230
531214002030
63105321032
7540313220
oct172564154
966474782
1032172140
1117184450
12a936178
136885890
1443b6780
152c57745
hex1eae86c

32172140 has 96 divisors (see below), whose sum is σ = 90768384. Its totient is φ = 9250560.

The previous prime is 32172139. The next prime is 32172157. The reversal of 32172140 is 4127123.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 19217 + ... + 20823.

It is an arithmetic number, because the mean of its divisors is an integer number (945504).

Almost surely, 232172140 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 32172140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45384192).

32172140 is an abundant number, since it is smaller than the sum of its proper divisors (58596244).

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

32172140 is a wasteful number, since it uses less digits than its factorization.

32172140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647 (or 1645 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 32172140 is about 5672.0490124822. The cubic root of 32172140 is about 318.0484743424.

Adding to 32172140 its reverse (4127123), we get a palindrome (36299263).

The spelling of 32172140 in words is "thirty-two million, one hundred seventy-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 11 13 14 20 22 26 28 35 44 52 55 65 70 77 91 110 130 140 143 154 182 220 260 286 308 364 385 455 572 715 770 910 1001 1430 1540 1607 1820 2002 2860 3214 4004 5005 6428 8035 10010 11249 16070 17677 20020 20891 22498 32140 35354 41782 44996 56245 70708 83564 88385 104455 112490 123739 146237 176770 208910 224980 229801 247478 292474 353540 417820 459602 494956 584948 618695 731185 919204 1149005 1237390 1462370 1608607 2298010 2474780 2924740 3217214 4596020 6434428 8043035 16086070 32172140