Search a number
-
+
30175040 = 265719709
BaseRepresentation
bin111001100011…
…0111101000000
32002210001101002
41303012331000
530211100130
62554431132
7514324610
oct163067500
962701332
1030175040
111603aa55
12a1324a8
13633686c
144016a40
1529b0b45
hex1cc6f40

30175040 has 112 divisors (see below), whose sum is σ = 86563200. Its totient is φ = 9787392.

The previous prime is 30175039. The next prime is 30175043. The reversal of 30175040 is 4057103.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30175043) 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, 42206 + ... + 42914.

Almost surely, 230175040 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 30175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43281600).

30175040 is an abundant number, since it is smaller than the sum of its proper divisors (56388160).

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

30175040 is a wasteful number, since it uses less digits than its factorization.

30175040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 742 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 20.

The square root of 30175040 is about 5493.1812276676. The cubic root of 30175040 is about 311.3264012485.

The spelling of 30175040 in words is "thirty million, one hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 19 20 28 32 35 38 40 56 64 70 76 80 95 112 133 140 152 160 190 224 266 280 304 320 380 448 532 560 608 665 709 760 1064 1120 1216 1330 1418 1520 2128 2240 2660 2836 3040 3545 4256 4963 5320 5672 6080 7090 8512 9926 10640 11344 13471 14180 19852 21280 22688 24815 26942 28360 39704 42560 45376 49630 53884 56720 67355 79408 94297 99260 107768 113440 134710 158816 188594 198520 215536 226880 269420 317632 377188 397040 431072 471485 538840 754376 794080 862144 942970 1077680 1508752 1588160 1885940 2155360 3017504 3771880 4310720 6035008 7543760 15087520 30175040