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1675213764 = 2237213812063
BaseRepresentation
bin110001111011001…
…1011101111000100
311022202012200021020
41203312123233010
511412323320024
6434121351140
756341040100
oct14366335704
94282180236
101675213764
1178a683994
123a90384b0
132090ab763
1411c6b2900
159c109979
hex63d9bbc4

1675213764 has 72 divisors (see below), whose sum is σ = 4552507008. Its totient is φ = 478054080.

The previous prime is 1675213759. The next prime is 1675213769. The reversal of 1675213764 is 4673125761.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1675213759) and next prime (1675213769).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (1675213769) 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, 810997 + ... + 813059.

It is an arithmetic number, because the mean of its divisors is an integer number (63229264).

Almost surely, 21675213764 is an apocalyptic number.

1675213764 is a gapful number since it is divisible by the number (14) 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 1675213764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2276253504).

1675213764 is an abundant number, since it is smaller than the sum of its proper divisors (2877293244).

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

1675213764 is a wasteful number, since it uses less digits than its factorization.

1675213764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3465 (or 3456 counting only the distinct ones).

The product of its digits is 211680, while the sum is 42.

The square root of 1675213764 is about 40929.3753189564. The cubic root of 1675213764 is about 1187.6543876685.

The spelling of 1675213764 in words is "one billion, six hundred seventy-five million, two hundred thirteen thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1381 2063 2762 4126 4143 5524 6189 8252 8286 9667 12378 14441 16572 19334 24756 28882 29001 38668 43323 57764 58002 67669 86646 101087 116004 135338 173292 202174 203007 270676 303261 404348 406014 606522 812028 1213044 2849003 5698006 8547009 11396012 17094018 19943021 34188036 39886042 59829063 79772084 119658126 139601147 239316252 279202294 418803441 558404588 837606882 1675213764