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15133080 = 2335235483
BaseRepresentation
bin111001101110…
…100110011000
31001110211200110
4321232212120
512333224310
61300204320
7242425524
oct71564630
931424613
1015133080
1185a6786
1250996a0
13319b0b1
14201cd84
1514ddd20
hexe6e998

15133080 has 64 divisors (see below), whose sum is σ = 47381760. Its totient is φ = 3859328.

The previous prime is 15133051. The next prime is 15133093. The reversal of 15133080 is 8033151.

It is a happy number.

It is a super-2 number, since 2×151330802 = 458020220572800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19 + ... + 5501.

It is an arithmetic number, because the mean of its divisors is an integer number (740340).

Almost surely, 215133080 is an apocalyptic number.

15133080 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 15133080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23690880).

15133080 is an abundant number, since it is smaller than the sum of its proper divisors (32248680).

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

15133080 is a wasteful number, since it uses less digits than its factorization.

15133080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5520 (or 5516 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 15133080 is about 3890.1259619709. The cubic root of 15133080 is about 247.3484022144.

The spelling of 15133080 in words is "fifteen million, one hundred thirty-three thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 184 230 276 345 460 552 690 920 1380 2760 5483 10966 16449 21932 27415 32898 43864 54830 65796 82245 109660 126109 131592 164490 219320 252218 328980 378327 504436 630545 657960 756654 1008872 1261090 1513308 1891635 2522180 3026616 3783270 5044360 7566540 15133080