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130439680 = 295729251
BaseRepresentation
bin1111100011001…
…01101000000000
3100002110000121021
413301211220000
5231343032210
620535435224
73142501420
oct761455000
9302400537
10130439680
11676a2298
1237825b14
1321040957
1413476480
15b6b8bda
hex7c65a00

130439680 has 160 divisors (see below), whose sum is σ = 371226240. Its totient is φ = 43008000.

The previous prime is 130439671. The next prime is 130439681. The reversal of 130439680 is 86934031.

It is a tau number, because it is divible by the number of its divisors (160).

It is not an unprimeable number, because it can be changed into a prime (130439681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 519555 + ... + 519805.

It is an arithmetic number, because the mean of its divisors is an integer number (2320164).

Almost surely, 2130439680 is an apocalyptic number.

130439680 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 130439680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185613120).

130439680 is an abundant number, since it is smaller than the sum of its proper divisors (240786560).

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

130439680 is an equidigital number, since it uses as much as digits as its factorization.

130439680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The square root of 130439680 is about 11421.0192189664. The cubic root of 130439680 is about 507.1501694188.

The spelling of 130439680 in words is "one hundred thirty million, four hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 29 32 35 40 56 58 64 70 80 112 116 128 140 145 160 203 224 232 251 256 280 290 320 406 448 464 502 512 560 580 640 812 896 928 1004 1015 1120 1160 1255 1280 1624 1757 1792 1856 2008 2030 2240 2320 2510 2560 3248 3514 3584 3712 4016 4060 4480 4640 5020 6496 7028 7279 7424 8032 8120 8785 8960 9280 10040 12992 14056 14558 14848 16064 16240 17570 17920 18560 20080 25984 28112 29116 32128 32480 35140 36395 37120 40160 50953 51968 56224 58232 64256 64960 70280 72790 74240 80320 101906 103936 112448 116464 128512 129920 140560 145580 160640 203812 224896 232928 254765 259840 281120 291160 321280 407624 449792 465856 509530 519680 562240 582320 642560 815248 899584 931712 1019060 1124480 1164640 1630496 1863424 2038120 2248960 2329280 3260992 3726848 4076240 4497920 4658560 6521984 8152480 9317120 13043968 16304960 18634240 26087936 32609920 65219840 130439680