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2132403140 = 2257236071091
BaseRepresentation
bin111111100011001…
…1110001111000100
312111121111022012002
41333012132033010
513331343400030
6551332444432
7103562061530
oct17706361704
95447438162
102132403140
119a476004a
124b6179718
1327ca2490a
141632c2bc0
15c7318245
hex7f19e3c4

2132403140 has 96 divisors (see below), whose sum is σ = 5353979904. Its totient is φ = 697530240.

The previous prime is 2132403139. The next prime is 2132403151. The reversal of 2132403140 is 413042312.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1953995 + ... + 1955085.

It is an arithmetic number, because the mean of its divisors is an integer number (55770624).

Almost surely, 22132403140 is an apocalyptic number.

2132403140 is a gapful number since it is divisible by the number (20) 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 2132403140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2676989952).

2132403140 is an abundant number, since it is smaller than the sum of its proper divisors (3221576764).

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

2132403140 is a wasteful number, since it uses less digits than its factorization.

2132403140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1735 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 2132403140 is about 46177.9507990556. The cubic root of 2132403140 is about 1287.1320498176.

Adding to 2132403140 its reverse (413042312), we get a palindrome (2545445452).

The spelling of 2132403140 in words is "two billion, one hundred thirty-two million, four hundred three thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 607 644 805 1091 1214 1610 2182 2428 3035 3220 4249 4364 5455 6070 7637 8498 10910 12140 13961 15274 16996 21245 21820 25093 27922 30548 38185 42490 50186 55844 69805 76370 84980 97727 100372 125465 139610 152740 175651 195454 250930 279220 351302 390908 488635 501860 662237 702604 878255 977270 1324474 1756510 1954540 2648948 3311185 3513020 4635659 6622370 9271318 13244740 15231451 18542636 23178295 30462902 46356590 60925804 76157255 92713180 106620157 152314510 213240314 304629020 426480628 533100785 1066201570 2132403140