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15134480 = 245375113
BaseRepresentation
bin111001101110…
…111100010000
31001110220121022
4321232330100
512333300410
61300215012
7242432564
oct71567420
931426538
1015134480
1185a7839
12509a468
13319b91a
14201d6a4
1514de455
hexe6ef10

15134480 has 40 divisors (see below), whose sum is σ = 36145752. Its totient is φ = 5889024.

The previous prime is 15134477. The next prime is 15134501. The reversal of 15134480 is 8443151.

It can be written as a sum of positive squares in 4 ways, for example, as 633616 + 14500864 = 796^2 + 3808^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a super-5 number, since 5×151344805 (a number of 37 digits) contains 55555 as substring.

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 7 ways as a sum of consecutive naturals, for example, 404 + ... + 5516.

Almost surely, 215134480 is an apocalyptic number.

15134480 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 15134480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18072876).

15134480 is an abundant number, since it is smaller than the sum of its proper divisors (21011272).

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

15134480 is a wasteful number, since it uses less digits than its factorization.

15134480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5163 (or 5157 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 15134480 is about 3890.3059005687. The cubic root of 15134480 is about 247.3560295906.

The spelling of 15134480 in words is "fifteen million, one hundred thirty-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 5113 10226 20452 25565 40904 51130 81808 102260 189181 204520 378362 409040 756724 945905 1513448 1891810 3026896 3783620 7567240 15134480