Search a number
-
+
32094040 = 23511219349
BaseRepresentation
bin111101001101…
…1011101011000
32020101112202011
41322123131120
531204002130
63103515304
7536536426
oct172333530
966345664
1032094040
1117130800
12a8b8b34
136859174
144396116
152c3e52a
hex1e9b758

32094040 has 96 divisors (see below), whose sum is σ = 83790000. Its totient is φ = 11024640.

The previous prime is 32094037. The next prime is 32094047. The reversal of 32094040 is 4049023.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32094047) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 91786 + ... + 92134.

Almost surely, 232094040 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 32094040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41895000).

32094040 is an abundant number, since it is smaller than the sum of its proper divisors (51695960).

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

32094040 is a wasteful number, since it uses less digits than its factorization.

32094040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 401 (or 386 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 32094040 is about 5665.1601919098. The cubic root of 32094040 is about 317.7909045640.

The spelling of 32094040 in words is "thirty-two million, ninety-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 19 20 22 38 40 44 55 76 88 95 110 121 152 190 209 220 242 349 380 418 440 484 605 698 760 836 968 1045 1210 1396 1672 1745 2090 2299 2420 2792 3490 3839 4180 4598 4840 6631 6980 7678 8360 9196 11495 13262 13960 15356 18392 19195 22990 26524 30712 33155 38390 42229 45980 53048 66310 72941 76780 84458 91960 132620 145882 153560 168916 211145 265240 291764 337832 364705 422290 583528 729410 802351 844580 1458820 1604702 1689160 2917640 3209404 4011755 6418808 8023510 16047020 32094040