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153130446 = 23371932099
BaseRepresentation
bin10010010000010…
…01010111001110
3101200010211111000
421020021113032
5303200133241
623110041130
73536405310
oct1110112716
9350124430
10153130446
1179490197
12433491a6
1325956a41
14164a17b0
15d69beb6
hex92095ce

153130446 has 64 divisors (see below), whose sum is σ = 391104000. Its totient is φ = 43504128.

The previous prime is 153130423. The next prime is 153130477. The reversal of 153130446 is 644031351.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 71905 + ... + 74003.

It is an arithmetic number, because the mean of its divisors is an integer number (6111000).

Almost surely, 2153130446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 153130446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195552000).

153130446 is an abundant number, since it is smaller than the sum of its proper divisors (237973554).

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

153130446 is a wasteful number, since it uses less digits than its factorization.

153130446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2310 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 153130446 is about 12374.5887204383. The cubic root of 153130446 is about 535.0000826855. Note that the first 4 decimals are identical.

Adding to 153130446 its reverse (644031351), we get a palindrome (797161797).

The spelling of 153130446 in words is "one hundred fifty-three million, one hundred thirty thousand, four hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 193 378 386 579 1158 1351 1737 2099 2702 3474 4053 4198 5211 6297 8106 10422 12159 12594 14693 18891 24318 29386 36477 37782 44079 56673 72954 88158 113346 132237 264474 396711 405107 793422 810214 1215321 2430642 2835749 3645963 5671498 7291926 8507247 10937889 17014494 21875778 25521741 51043482 76565223 153130446