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1616044640 = 25571133
BaseRepresentation
bin110000001010010…
…1110001001100000
311011121212120111012
41200110232021200
511302201412030
6424205240052
755022103260
oct14024561140
94147776435
101616044640
1175a240291
12391263028
131c9a62a42
141148ad7a0
1596d1d095
hex6052e260

1616044640 has 96 divisors (see below), whose sum is σ = 4402278720. Its totient is φ = 549169152.

The previous prime is 1616044637. The next prime is 1616044649. The reversal of 1616044640 is 464406161.

It is a super-2 number, since 2×16160446402 = 5223200556945459200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 1616044597 and 1616044606.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1616044649) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14301224 + ... + 14301336.

It is an arithmetic number, because the mean of its divisors is an integer number (45857070).

Almost surely, 21616044640 is an apocalyptic number.

1616044640 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 1616044640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2201139360).

1616044640 is an abundant number, since it is smaller than the sum of its proper divisors (2786234080).

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

1616044640 is an frugal number, since it uses more digits than its factorization.

1616044640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 32.

The square root of 1616044640 is about 40200.0577114014. The cubic root of 1616044640 is about 1173.5036670183.

The spelling of 1616044640 in words is "one billion, six hundred sixteen million, forty-four thousand, six hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 113 140 160 224 226 280 452 560 565 791 904 1120 1130 1582 1808 2260 3164 3616 3955 4520 6328 7910 9040 12656 12769 15820 18080 25312 25538 31640 51076 63280 63845 89383 102152 126560 127690 178766 204304 255380 357532 408608 446915 510760 715064 893830 1021520 1430128 1442897 1787660 2043040 2860256 2885794 3575320 5771588 7150640 7214485 10100279 11543176 14301280 14428970 20200558 23086352 28857940 40401116 46172704 50501395 57715880 80802232 101002790 115431760 161604464 202005580 230863520 323208928 404011160 808022320 1616044640