Search a number
-
+
130541880 = 2335721492
BaseRepresentation
bin1111100011111…
…10100100111000
3100002122012210110
413301332210320
5231404320010
620541544320
73143405400
oct761764470
9302565713
10130541880
1167762057
12378750a0
1321078321
14134a1800
15b6d9120
hex7c7e938

130541880 has 144 divisors (see below), whose sum is σ = 458642520. Its totient is φ = 29637888.

The previous prime is 130541863. The next prime is 130541881. The reversal of 130541880 is 88145031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130541881) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 876046 + ... + 876194.

Almost surely, 2130541880 is an apocalyptic number.

130541880 is a gapful number since it is divisible by the number (10) 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 130541880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229321260).

130541880 is an abundant number, since it is smaller than the sum of its proper divisors (328100640).

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

130541880 is a wasteful number, since it uses less digits than its factorization.

130541880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 326 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 130541880 is about 11425.4925495578. The cubic root of 130541880 is about 507.2825862229.

Multiplying 130541880 by its sum of digits (30), we get a square (3916256400 = 625802).

130541880 divided by its sum of digits (30) gives a square (4351396 = 20862).

The spelling of 130541880 in words is "one hundred thirty million, five hundred forty-one thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 49 56 60 70 84 98 105 120 140 147 149 168 196 210 245 280 294 298 392 420 447 490 588 596 735 745 840 894 980 1043 1176 1192 1470 1490 1788 1960 2086 2235 2940 2980 3129 3576 4172 4470 5215 5880 5960 6258 7301 8344 8940 10430 12516 14602 15645 17880 20860 21903 22201 25032 29204 31290 36505 41720 43806 44402 58408 62580 66603 73010 87612 88804 109515 111005 125160 133206 146020 155407 175224 177608 219030 222010 266412 292040 310814 333015 438060 444020 466221 532824 621628 666030 777035 876120 888040 932442 1087849 1243256 1332060 1554070 1864884 2175698 2331105 2664120 3108140 3263547 3729768 4351396 4662210 5439245 6216280 6527094 8702792 9324420 10878490 13054188 16317735 18648840 21756980 26108376 32635470 43513960 65270940 130541880