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1445780106 = 232377927479
BaseRepresentation
bin101011000101100…
…1101101010001010
310201202111020110100
41112023031222022
510430104430411
6355244030230
750553633231
oct12613155212
93652436410
101445780106
11682117aa1
12344232376
131a06ba1b4
14da02bb18
1586dd9456
hex562cda8a

1445780106 has 48 divisors (see below), whose sum is σ = 3258028800. Its totient is φ = 462949344.

The previous prime is 1445780101. The next prime is 1445780117. The reversal of 1445780106 is 6010875441.

It is a happy number.

It is a super-2 number, since 2×14457801062 = 4180560229810742472, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1445780101) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38875 + ... + 66353.

It is an arithmetic number, because the mean of its divisors is an integer number (67875600).

Almost surely, 21445780106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1445780106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1629014400).

1445780106 is an abundant number, since it is smaller than the sum of its proper divisors (1812248694).

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

1445780106 is a wasteful number, since it uses less digits than its factorization.

1445780106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27603 (or 27600 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 1445780106 is about 38023.4152332481. The cubic root of 1445780106 is about 1130.7521309026.

The spelling of 1445780106 in words is "one billion, four hundred forty-five million, seven hundred eighty thousand, one hundred six".

Divisors: 1 2 3 6 9 18 37 74 79 111 158 222 237 333 474 666 711 1422 2923 5846 8769 17538 26307 27479 52614 54958 82437 164874 247311 494622 1016723 2033446 2170841 3050169 4341682 6100338 6512523 9150507 13025046 18301014 19537569 39075138 80321117 160642234 240963351 481926702 722890053 1445780106