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1300252500 = 2234546421
BaseRepresentation
bin100110110000000…
…0100011101010100
310100121122200010000
41031200010131110
510130331040000
6333004531300
744135651421
oct11540043524
93317580100
101300252500
11607a5aa48
12303550b30
131794c5ba1
14c4988d48
1579240000
hex4d804754

1300252500 has 150 divisors (see below), whose sum is σ = 4248197954. Its totient is φ = 346680000.

The previous prime is 1300252489. The next prime is 1300252549. The reversal of 1300252500 is 52520031.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 658846224 + 641406276 = 25668^2 + 25326^2 .

It is a tau number, because it is divible by the number of its divisors (150).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 199290 + ... + 205710.

Almost surely, 21300252500 is an apocalyptic number.

1300252500 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 1300252500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2124098977).

1300252500 is an abundant number, since it is smaller than the sum of its proper divisors (2947945454).

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

1300252500 is an equidigital number, since it uses as much as digits as its factorization.

1300252500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6457 (or 6431 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 1300252500 is about 36059.0141296181. The cubic root of 1300252500 is about 1091.4635391798.

Adding to 1300252500 its reverse (52520031), we get a palindrome (1352772531).

The spelling of 1300252500 in words is "one billion, three hundred million, two hundred fifty-two thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 125 135 150 162 180 225 250 270 300 324 375 405 450 500 540 625 675 750 810 900 1125 1250 1350 1500 1620 1875 2025 2250 2500 2700 3375 3750 4050 4500 5625 6421 6750 7500 8100 10125 11250 12842 13500 16875 19263 20250 22500 25684 32105 33750 38526 40500 50625 57789 64210 67500 77052 96315 101250 115578 128420 160525 173367 192630 202500 231156 288945 321050 346734 385260 481575 520101 577890 642100 693468 802625 866835 963150 1040202 1155780 1444725 1605250 1733670 1926300 2080404 2407875 2600505 2889450 3210500 3467340 4013125 4334175 4815750 5201010 5778900 7223625 8026250 8668350 9631500 10402020 12039375 13002525 14447250 16052500 17336700 21670875 24078750 26005050 28894500 36118125 43341750 48157500 52010100 65012625 72236250 86683500 108354375 130025250 144472500 216708750 260050500 325063125 433417500 650126250 1300252500