Search a number
-
+
35130480 = 24357111901
BaseRepresentation
bin1000011000000…
…0110001110000
32110002210221220
42012000301300
532443133410
63252545040
7604414140
oct206006160
973083856
1035130480
1118915060
12b922180
137380288
144946920
15313e070
hex2180c70

35130480 has 160 divisors (see below), whose sum is σ = 135848448. Its totient is φ = 7296000.

The previous prime is 35130463. The next prime is 35130493. The reversal of 35130480 is 8403153.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 35130480.

It is a congruent number.

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, 17530 + ... + 19430.

Almost surely, 235130480 is an apocalyptic number.

35130480 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 35130480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67924224).

35130480 is an abundant number, since it is smaller than the sum of its proper divisors (100717968).

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

35130480 is a wasteful number, since it uses less digits than its factorization.

35130480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1929 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 35130480 is about 5927.0970972307. The cubic root of 35130480 is about 327.5126114445.

The spelling of 35130480 in words is "thirty-five million, one hundred thirty thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 11 12 14 15 16 20 21 22 24 28 30 33 35 40 42 44 48 55 56 60 66 70 77 80 84 88 105 110 112 120 132 140 154 165 168 176 210 220 231 240 264 280 308 330 336 385 420 440 462 528 560 616 660 770 840 880 924 1155 1232 1320 1540 1680 1848 1901 2310 2640 3080 3696 3802 4620 5703 6160 7604 9240 9505 11406 13307 15208 18480 19010 20911 22812 26614 28515 30416 38020 39921 41822 45624 53228 57030 62733 66535 76040 79842 83644 91248 104555 106456 114060 125466 133070 146377 152080 159684 167288 199605 209110 212912 228120 250932 266140 292754 313665 319368 334576 399210 418220 439131 456240 501864 532280 585508 627330 638736 731885 798420 836440 878262 1003728 1064560 1171016 1254660 1463770 1596840 1672880 1756524 2195655 2342032 2509320 2927540 3193680 3513048 4391310 5018640 5855080 7026096 8782620 11710160 17565240 35130480