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10134540 = 22325136171
BaseRepresentation
bin100110101010…
…010000001100
3201001212222100
4212222100030
510043301130
61001115100
7152066523
oct46522014
921055870
1010134540
1157a2259
123488a90
13213ab90
1414bb4ba
15d52c60
hex9aa40c

10134540 has 144 divisors (see below), whose sum is σ = 34122816. Its totient is φ = 2419200.

The previous prime is 10134539. The next prime is 10134547. The reversal of 10134540 is 4543101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (10134547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 142705 + ... + 142775.

It is an arithmetic number, because the mean of its divisors is an integer number (236964).

Almost surely, 210134540 is an apocalyptic number.

10134540 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 10134540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17061408).

10134540 is an abundant number, since it is smaller than the sum of its proper divisors (23988276).

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

10134540 is a wasteful number, since it uses less digits than its factorization.

10134540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 10134540 is about 3183.4792287684. The cubic root of 10134540 is about 216.4053601970.

Adding to 10134540 its reverse (4543101), we get a palindrome (14677641).

The spelling of 10134540 in words is "ten million, one hundred thirty-four thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 61 65 71 78 90 117 122 130 142 156 180 183 195 213 234 244 260 284 305 355 366 390 426 468 549 585 610 639 710 732 780 793 852 915 923 1065 1098 1170 1220 1278 1420 1586 1830 1846 2130 2196 2340 2379 2556 2745 2769 3172 3195 3660 3692 3965 4260 4331 4615 4758 5490 5538 6390 7137 7930 8307 8662 9230 9516 10980 11076 11895 12780 12993 13845 14274 15860 16614 17324 18460 21655 23790 25986 27690 28548 33228 35685 38979 41535 43310 47580 51972 55380 56303 64965 71370 77958 83070 86620 112606 129930 142740 155916 166140 168909 194895 225212 259860 281515 337818 389790 506727 563030 675636 779580 844545 1013454 1126060 1689090 2026908 2533635 3378180 5067270 10134540