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15145000 = 235413233
BaseRepresentation
bin111001110001…
…100000101000
31001111110000221
4321301200220
512334120000
61300335424
7242505343
oct71614050
931443027
1015145000
118604732
1250a4574
1331a3650
14202345a
1514e261a
hexe71828

15145000 has 80 divisors (see below), whose sum is σ = 38378340. Its totient is φ = 5568000.

The previous prime is 15144991. The next prime is 15145021. The reversal of 15145000 is 54151.

It is a happy number.

It can be written as a sum of positive squares in 10 ways, for example, as 5373124 + 9771876 = 2318^2 + 3126^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 64884 + ... + 65116.

Almost surely, 215145000 is an apocalyptic number.

15145000 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 15145000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19189170).

15145000 is an abundant number, since it is smaller than the sum of its proper divisors (23233340).

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

15145000 is a wasteful number, since it uses less digits than its factorization.

15145000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 16.

The square root of 15145000 is about 3891.6577444580. The cubic root of 15145000 is about 247.4133288335.

Adding to 15145000 its reverse (54151), we get a palindrome (15199151).

The spelling of 15145000 in words is "fifteen million, one hundred forty-five thousand".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 125 130 200 233 250 260 325 466 500 520 625 650 932 1000 1165 1250 1300 1625 1864 2330 2500 2600 3029 3250 4660 5000 5825 6058 6500 8125 9320 11650 12116 13000 15145 16250 23300 24232 29125 30290 32500 46600 58250 60580 65000 75725 116500 121160 145625 151450 233000 291250 302900 378625 582500 605800 757250 1165000 1514500 1893125 3029000 3786250 7572500 15145000