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1300174040 = 23511324421
BaseRepresentation
bin100110101111111…
…0001010011011000
310100121111200111002
41031133301103120
510130321032130
6333003124132
744135203604
oct11537612330
93317450432
101300174040
11607a07000
12303513648
13179499269
14c4968504
1579226b45
hex4d7f14d8

1300174040 has 64 divisors (see below), whose sum is σ = 3217842720. Its totient is φ = 472771200.

The previous prime is 1300174039. The next prime is 1300174067. The reversal of 1300174040 is 404710031.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41030 + ... + 65450.

Almost surely, 21300174040 is an apocalyptic number.

1300174040 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 1300174040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1608921360).

1300174040 is an abundant number, since it is smaller than the sum of its proper divisors (1917668680).

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

1300174040 is a wasteful number, since it uses less digits than its factorization.

1300174040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24465 (or 24439 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 20.

The square root of 1300174040 is about 36057.9261744211. The cubic root of 1300174040 is about 1091.4415849948.

Adding to 1300174040 its reverse (404710031), we get a palindrome (1704884071).

The spelling of 1300174040 in words is "one billion, three hundred million, one hundred seventy-four thousand, forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 121 220 242 440 484 605 968 1210 1331 2420 2662 4840 5324 6655 10648 13310 24421 26620 48842 53240 97684 122105 195368 244210 268631 488420 537262 976840 1074524 1343155 2149048 2686310 2954941 5372620 5909882 10745240 11819764 14774705 23639528 29549410 32504351 59098820 65008702 118197640 130017404 162521755 260034808 325043510 650087020 1300174040