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130545408 = 283723469
BaseRepresentation
bin1111100011111…
…11011100000000
3100002122101122010
413301333130000
5231404423113
620542012520
73143421600
oct761773400
9302571563
10130545408
1167764774
1237877140
1321079b06
14134a2c00
15b6da1c3
hex7c7f700

130545408 has 108 divisors (see below), whose sum is σ = 404282760. Its totient is φ = 37287936.

The previous prime is 130545319. The next prime is 130545427. The reversal of 130545408 is 804545031.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35898 + ... + 39366.

Almost surely, 2130545408 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 130545408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202141380).

130545408 is an abundant number, since it is smaller than the sum of its proper divisors (273737352).

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

130545408 is an equidigital number, since it uses as much as digits as its factorization.

130545408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3481 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The square root of 130545408 is about 11425.6469401080. The cubic root of 130545408 is about 507.2871560893.

The spelling of 130545408 in words is "one hundred thirty million, five hundred forty-five thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 3469 4704 5376 6272 6938 9408 10407 12544 13876 18816 20814 24283 27752 37632 41628 48566 55504 72849 83256 97132 111008 145698 166512 169981 194264 222016 291396 333024 339962 388528 444032 509943 582792 666048 679924 777056 888064 1019886 1165584 1332096 1359848 1554112 2039772 2331168 2664192 2719696 3108224 4079544 4662336 5439392 6216448 8159088 9324672 10878784 16318176 18649344 21757568 32636352 43515136 65272704 130545408