Search a number
-
+
30801760 = 2551123743
BaseRepresentation
bin111010101111…
…1111101100000
32010221220001221
41311133331200
530341124020
63020104424
7522545023
oct165377540
963856057
1030801760
1116428900
12a395114
1364c5bc2
14413b1ba
152a866aa
hex1d5ff60

30801760 has 144 divisors (see below), whose sum is σ = 84058128. Its totient is φ = 10644480.

The previous prime is 30801737. The next prime is 30801763. The reversal of 30801760 is 6710803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30801763) 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, 716299 + ... + 716341.

It is an arithmetic number, because the mean of its divisors is an integer number (583737).

Almost surely, 230801760 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 30801760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42029064).

30801760 is an abundant number, since it is smaller than the sum of its proper divisors (53256368).

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

30801760 is a wasteful number, since it uses less digits than its factorization.

30801760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 98 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 30801760 is about 5549.9333329329. The cubic root of 30801760 is about 313.4670120209.

The spelling of 30801760 in words is "thirty million, eight hundred one thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 37 40 43 44 55 74 80 86 88 110 121 148 160 172 176 185 215 220 242 296 344 352 370 407 430 440 473 484 592 605 688 740 814 860 880 946 968 1184 1210 1376 1480 1591 1628 1720 1760 1892 1936 2035 2365 2420 2960 3182 3256 3440 3784 3872 4070 4477 4730 4840 5203 5920 6364 6512 6880 7568 7955 8140 8954 9460 9680 10406 12728 13024 15136 15910 16280 17501 17908 18920 19360 20812 22385 25456 26015 31820 32560 35002 35816 37840 41624 44770 50912 52030 63640 65120 70004 71632 75680 83248 87505 89540 104060 127280 140008 143264 166496 175010 179080 192511 208120 254560 280016 350020 358160 385022 416240 560032 700040 716320 770044 832480 962555 1400080 1540088 1925110 2800160 3080176 3850220 6160352 7700440 15400880 30801760