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2083719132 = 223211192312041
BaseRepresentation
bin111110000110011…
…0000011111011100
312101012212220021200
41330030300133130
513231413003012
6542433155500
7102431214615
oct17414603734
95335786250
102083719132
1197a229030
124a19bbb90
1327290a501
1415aa4cc0c
15c2ded3dc
hex7c3307dc

2083719132 has 144 divisors (see below), whose sum is σ = 6311934720. Its totient is φ = 572140800.

The previous prime is 2083719091. The next prime is 2083719167. The reversal of 2083719132 is 2319173802.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 167032 + ... + 179072.

It is an arithmetic number, because the mean of its divisors is an integer number (43832880).

Almost surely, 22083719132 is an apocalyptic number.

2083719132 is a gapful number since it is divisible by the number (22) 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 2083719132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3155967360).

2083719132 is an abundant number, since it is smaller than the sum of its proper divisors (4228215588).

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

2083719132 is a wasteful number, since it uses less digits than its factorization.

2083719132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12104 (or 12099 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 2083719132 is about 45647.7724757737. The cubic root of 2083719132 is about 1277.2612200986.

The spelling of 2083719132 in words is "two billion, eighty-three million, seven hundred nineteen thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 23 33 36 38 44 46 57 66 69 76 92 99 114 132 138 171 198 207 209 228 253 276 342 396 414 418 437 506 627 684 759 828 836 874 1012 1254 1311 1518 1748 1881 2277 2508 2622 3036 3762 3933 4554 4807 5244 7524 7866 9108 9614 12041 14421 15732 19228 24082 28842 36123 43263 48164 57684 72246 86526 108369 132451 144492 173052 216738 228779 264902 276943 397353 433476 457558 529804 553886 686337 794706 830829 915116 1107772 1192059 1372674 1589412 1661658 2059011 2384118 2492487 2516569 2745348 3046373 3323316 4118022 4768236 4984974 5033138 5261917 6092746 7549707 8236044 9139119 9969948 10066276 10523834 12185492 15099414 15785751 18278238 21047668 22649121 27417357 30198828 31571502 36556476 45298242 47357253 54834714 57881087 63143004 90596484 94714506 109669428 115762174 173643261 189429012 231524348 347286522 520929783 694573044 1041859566 2083719132