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130669728 = 2537337577
BaseRepresentation
bin1111100100111…
…01110010100000
3100002212201011120
413302131302200
5231422412403
620544412240
73144450210
oct762356240
9302781146
10130669728
116783a112
1237917080
13210c1587
14134d6240
15b711e53
hex7c9dca0

130669728 has 96 divisors (see below), whose sum is σ = 393853824. Its totient is φ = 37158912.

The previous prime is 130669727. The next prime is 130669741. The reversal of 130669728 is 827966031.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 130669728.

It is not an unprimeable number, because it can be changed into a prime (130669727) 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, 226176 + ... + 226752.

It is an arithmetic number, because the mean of its divisors is an integer number (4102644).

Almost surely, 2130669728 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 130669728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196926912).

130669728 is an abundant number, since it is smaller than the sum of its proper divisors (263184096).

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

130669728 is a wasteful number, since it uses less digits than its factorization.

130669728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 934 (or 926 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 42.

The square root of 130669728 is about 11431.0860376431. The cubic root of 130669728 is about 507.4481369344.

The spelling of 130669728 in words is "one hundred thirty million, six hundred sixty-nine thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 337 577 672 674 1011 1154 1348 1731 2022 2308 2359 2696 3462 4039 4044 4616 4718 5392 6924 7077 8078 8088 9232 9436 10784 12117 13848 14154 16156 16176 18464 18872 24234 27696 28308 32312 32352 37744 48468 55392 56616 64624 75488 96936 113232 129248 193872 194449 226464 387744 388898 583347 777796 1166694 1361143 1555592 2333388 2722286 3111184 4083429 4666776 5444572 6222368 8166858 9333552 10889144 16333716 18667104 21778288 32667432 43556576 65334864 130669728