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146675130 = 23572113883
BaseRepresentation
bin10001011111000…
…01010110111010
3101012222212110020
420233201112322
5300022101010
622315431310
73430501200
oct1057412672
9335885406
10146675130
1175881218
1241155536
1324506724
14156a1070
15cd24470
hex8be15ba

146675130 has 96 divisors (see below), whose sum is σ = 413584704. Its totient is φ = 33191424.

The previous prime is 146675119. The next prime is 146675149. The reversal of 146675130 is 31576641.

It is a junction number, because it is equal to n+sod(n) for n = 146675091 and 146675100.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 165669 + ... + 166551.

It is an arithmetic number, because the mean of its divisors is an integer number (4308174).

Almost surely, 2146675130 is an apocalyptic number.

146675130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146675130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206792352).

146675130 is an abundant number, since it is smaller than the sum of its proper divisors (266909574).

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

146675130 is a wasteful number, since it uses less digits than its factorization.

146675130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 1013 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 146675130 is about 12110.9508297243. The cubic root of 146675130 is about 527.3741364691.

The spelling of 146675130 in words is "one hundred forty-six million, six hundred seventy-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 49 70 98 105 113 147 210 226 245 294 339 490 565 678 735 791 883 1130 1470 1582 1695 1766 2373 2649 3390 3955 4415 4746 5298 5537 6181 7910 8830 11074 11865 12362 13245 16611 18543 23730 26490 27685 30905 33222 37086 43267 55370 61810 83055 86534 92715 99779 129801 166110 185430 199558 216335 259602 299337 432670 498895 598674 649005 698453 997790 1298010 1396906 1496685 2095359 2993370 3492265 4190718 4889171 6984530 9778342 10476795 14667513 20953590 24445855 29335026 48891710 73337565 146675130