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131228480 = 2652979179
BaseRepresentation
bin1111101001001…
…10001101000000
3100010221002122002
413310212031000
5232043302410
621004403132
73152265215
oct764461500
9303832562
10131228480
1168090999
1237b464a8
13212589b6
14135ddb0c
15b7c27a5
hex7d26340

131228480 has 112 divisors (see below), whose sum is σ = 329184000. Its totient is φ = 49760256.

The previous prime is 131228443. The next prime is 131228527. The reversal of 131228480 is 84822131.

It is a super-2 number, since 2×1312284802 = 34441827926220800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 733031 + ... + 733209.

Almost surely, 2131228480 is an apocalyptic number.

131228480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a pronic number, being equal to 11455×11456.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131228480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164592000).

131228480 is an abundant number, since it is smaller than the sum of its proper divisors (197955520).

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

131228480 is a wasteful number, since it uses less digits than its factorization.

131228480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 29.

The square root of 131228480 is about 11455.4999890882. The cubic root of 131228480 is about 508.1704018422.

It can be divided in two parts, 1312 and 28480, that added together give a palindrome (29792).

The spelling of 131228480 in words is "one hundred thirty-one million, two hundred twenty-eight thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 64 79 80 116 145 158 160 179 232 290 316 320 358 395 464 580 632 716 790 895 928 1160 1264 1432 1580 1790 1856 2291 2320 2528 2864 3160 3580 4582 4640 5056 5191 5728 6320 7160 9164 9280 10382 11455 11456 12640 14141 14320 18328 20764 22910 25280 25955 28282 28640 36656 41528 45820 51910 56564 57280 70705 73312 83056 91640 103820 113128 141410 146624 166112 183280 207640 226256 282820 332224 366560 410089 415280 452512 565640 733120 820178 830560 905024 1131280 1640356 1661120 2050445 2262560 3280712 4100890 4525120 6561424 8201780 13122848 16403560 26245696 32807120 65614240 131228480