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130025104 = 24113741487
BaseRepresentation
bin1111100000000…
…00011010010000
3100001122221220121
413300000122100
5231241300404
620522520024
73136123636
oct760003220
9301587817
10130025104
1167439870
1237666014
1320c27041
14133a9356
15b635e54
hex7c00690

130025104 has 80 divisors (see below), whose sum is σ = 289731456. Its totient is φ = 55987200.

The previous prime is 130025101. The next prime is 130025111. The reversal of 130025104 is 401520031.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (130025101) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266749 + ... + 267235.

Almost surely, 2130025104 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 130025104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144865728).

130025104 is an abundant number, since it is smaller than the sum of its proper divisors (159706352).

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

130025104 is a wasteful number, since it uses less digits than its factorization.

130025104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 584 (or 578 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 130025104 is about 11402.8550810751. The cubic root of 130025104 is about 506.6123079571.

Adding to 130025104 its reverse (401520031), we get a palindrome (531545135).

It can be divided in two parts, 130025 and 104, that multiplied together give a triangular number (13522600 = T5200).

The spelling of 130025104 in words is "one hundred thirty million, twenty-five thousand, one hundred four".

Divisors: 1 2 4 8 11 16 22 37 41 44 74 82 88 148 164 176 296 328 407 451 487 592 656 814 902 974 1517 1628 1804 1948 3034 3256 3608 3896 5357 6068 6512 7216 7792 10714 12136 16687 18019 19967 21428 24272 33374 36038 39934 42856 66748 72076 79868 85712 133496 144152 159736 198209 219637 266992 288304 319472 396418 439274 738779 792836 878548 1477558 1585672 1757096 2955116 3171344 3514192 5910232 8126569 11820464 16253138 32506276 65012552 130025104