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1675938132 = 223211171032417
BaseRepresentation
bin110001111100100…
…1100100101010100
311022210120110220200
41203321030211110
511413020010012
6434145100500
756350145001
oct14371144524
94283513820
101675938132
11790029140
123a9327730
132092a338b
1411c8208a8
159c1ee3dc
hex63e4c954

1675938132 has 144 divisors (see below), whose sum is σ = 4942933632. Its totient is φ = 473149440.

The previous prime is 1675938097. The next prime is 1675938139. The reversal of 1675938132 is 2318395761.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1675938139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 692188 + ... + 694604.

It is an arithmetic number, because the mean of its divisors is an integer number (34325928).

Almost surely, 21675938132 is an apocalyptic number.

1675938132 is a gapful number since it is divisible by the number (12) 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 1675938132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2471466816).

1675938132 is an abundant number, since it is smaller than the sum of its proper divisors (3266995500).

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

1675938132 is a wasteful number, since it uses less digits than its factorization.

1675938132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2553 counting only the distinct ones).

The product of its digits is 272160, while the sum is 45.

The square root of 1675938132 is about 40938.2233615481. The cubic root of 1675938132 is about 1187.8255449029.

The spelling of 1675938132 in words is "one billion, six hundred seventy-five million, nine hundred thirty-eight thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 103 132 153 187 198 204 206 306 309 374 396 412 561 612 618 748 927 1122 1133 1236 1683 1751 1854 2244 2266 2417 3366 3399 3502 3708 4532 4834 5253 6732 6798 7004 7251 9668 10197 10506 13596 14502 15759 19261 20394 21012 21753 26587 29004 31518 38522 40788 41089 43506 53174 57783 63036 77044 79761 82178 87012 106348 115566 123267 159522 164356 173349 231132 239283 246534 248951 319044 346698 369801 451979 478566 493068 497902 693396 739602 746853 903958 957132 995804 1355937 1479204 1493706 1807916 2240559 2711874 2738461 2987412 4067811 4232167 4481118 5423748 5476922 8135622 8215383 8464334 8962236 10953844 12696501 16271244 16430766 16928668 24646149 25393002 32861532 38089503 46553837 49292298 50786004 76179006 93107674 98584596 139661511 152358012 186215348 279323022 418984533 558646044 837969066 1675938132