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130725400 = 235213137367
BaseRepresentation
bin1111100101010…
…11011000011000
3100002222112112111
413302223120120
5231431203100
620545522104
73145101421
oct762533030
9302875474
10130725400
1167877a23
1237943334
1321110a10
141350c648
15b7236ba
hex7cab618

130725400 has 96 divisors (see below), whose sum is σ = 330603840. Its totient is φ = 47784960.

The previous prime is 130725383. The next prime is 130725409. The reversal of 130725400 is 4527031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130725409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 356017 + ... + 356383.

It is an arithmetic number, because the mean of its divisors is an integer number (3443790).

Almost surely, 2130725400 is an apocalyptic number.

130725400 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 130725400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165301920).

130725400 is an abundant number, since it is smaller than the sum of its proper divisors (199878440).

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

130725400 is a wasteful number, since it uses less digits than its factorization.

130725400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 524 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 22.

The square root of 130725400 is about 11433.5208925335. The cubic root of 130725400 is about 507.5201930053.

The spelling of 130725400 in words is "one hundred thirty million, seven hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 137 200 260 274 325 367 520 548 650 685 734 1096 1300 1370 1468 1781 1835 2600 2740 2936 3425 3562 3670 4771 5480 6850 7124 7340 8905 9175 9542 13700 14248 14680 17810 18350 19084 23855 27400 35620 36700 38168 44525 47710 50279 71240 73400 89050 95420 100558 119275 178100 190840 201116 238550 251395 356200 402232 477100 502790 653627 954200 1005580 1256975 1307254 2011160 2513950 2614508 3268135 5027900 5229016 6536270 10055800 13072540 16340675 26145080 32681350 65362700 130725400