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1244555680 = 25537210229
BaseRepresentation
bin100101000101110…
…0110100110100000
310012201211222102211
41022023212212200
510022101240210
6323255051504
742561356134
oct11213464640
93181758384
101244555680
11589579115
122a8970b94
1316aac47a4
14bb40b3c4
15743dc38a
hex4a2e69a0

1244555680 has 48 divisors (see below), whose sum is σ = 3019743720. Its totient is φ = 484365312.

The previous prime is 1244555623. The next prime is 1244555743. The reversal of 1244555680 is 865554421.

It can be written as a sum of positive squares in 4 ways, for example, as 890664336 + 353891344 = 29844^2 + 18812^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99195 + ... + 111034.

Almost surely, 21244555680 is an apocalyptic number.

1244555680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1244555680 is an abundant number, since it is smaller than the sum of its proper divisors (1775188040).

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

1244555680 is a wasteful number, since it uses less digits than its factorization.

1244555680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 210281 (or 210273 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 40.

The square root of 1244555680 is about 35278.2607281028. The cubic root of 1244555680 is about 1075.6511447220.

The spelling of 1244555680 in words is "one billion, two hundred forty-four million, five hundred fifty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 210229 420458 840916 1051145 1681832 2102290 3363664 4204580 6727328 7778473 8409160 15556946 16818320 31113892 33636640 38892365 62227784 77784730 124455568 155569460 248911136 311138920 622277840 1244555680