Search a number
-
+
15340000 = 25541359
BaseRepresentation
bin111010100001…
…000111100000
31001212100112011
4322201013200
512411340000
61304442304
7244250014
oct72410740
931770464
1015340000
118728195
125179394
133241330
142074544
1515302ba
hexea11e0

15340000 has 120 divisors (see below), whose sum is σ = 41330520. Its totient is φ = 5568000.

The previous prime is 15339971. The next prime is 15340007. The reversal of 15340000 is 4351.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15340007) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 259971 + ... + 260029.

It is an arithmetic number, because the mean of its divisors is an integer number (344421).

Almost surely, 215340000 is an apocalyptic number.

15340000 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 15340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20665260).

15340000 is an abundant number, since it is smaller than the sum of its proper divisors (25990520).

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

15340000 is an equidigital number, since it uses as much as digits as its factorization.

15340000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 15340000 is about 3916.6312055132. The cubic root of 15340000 is about 248.4706635976.

Adding to 15340000 its reverse (4351), we get a palindrome (15344351).

The spelling of 15340000 in words is "fifteen million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 32 40 50 52 59 65 80 100 104 118 125 130 160 200 208 236 250 260 295 325 400 416 472 500 520 590 625 650 767 800 944 1000 1040 1180 1250 1300 1475 1534 1625 1888 2000 2080 2360 2500 2600 2950 3068 3250 3835 4000 4720 5000 5200 5900 6136 6500 7375 7670 8125 9440 10000 10400 11800 12272 13000 14750 15340 16250 19175 20000 23600 24544 26000 29500 30680 32500 36875 38350 47200 52000 59000 61360 65000 73750 76700 95875 118000 122720 130000 147500 153400 191750 236000 260000 295000 306800 383500 479375 590000 613600 767000 958750 1180000 1534000 1917500 3068000 3835000 7670000 15340000