Search a number
-
+
2132054904 = 2337192812377
BaseRepresentation
bin111111100010100…
…1001001101111000
312111120211121111110
41333011021031320
513331301224104
6551321200320
7103556111340
oct17705111570
95446747443
102132054904
119a4542451
124b60300a0
1327c932265
14163231d20
15c7299e89
hex7f149378

2132054904 has 128 divisors (see below), whose sum is σ = 6437721600. Its totient is φ = 574801920.

The previous prime is 2132054891. The next prime is 2132054927. The reversal of 2132054904 is 4094502312.

It is a super-2 number, since 2×21320549042 = 9091316227340898432, which contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 895764 + ... + 898140.

It is an arithmetic number, because the mean of its divisors is an integer number (50294700).

Almost surely, 22132054904 is an apocalyptic number.

2132054904 is a gapful number since it is divisible by the number (24) 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 2132054904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218860800).

2132054904 is an abundant number, since it is smaller than the sum of its proper divisors (4305666696).

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

2132054904 is a wasteful number, since it uses less digits than its factorization.

2132054904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2693 (or 2689 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The square root of 2132054904 is about 46174.1800576903. The cubic root of 2132054904 is about 1287.0619801843.

The spelling of 2132054904 in words is "two billion, one hundred thirty-two million, fifty-four thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 281 399 456 532 562 798 843 1064 1124 1596 1686 1967 2248 2377 3192 3372 3934 4754 5339 5901 6744 7131 7868 9508 10678 11802 14262 15736 16017 16639 19016 21356 23604 28524 32034 33278 37373 42712 45163 47208 49917 57048 64068 66556 74746 90326 99834 112119 128136 133112 135489 149492 180652 199668 224238 270978 298984 316141 361304 399336 448476 541956 632282 667937 896952 948423 1083912 1264564 1335874 1896846 2003811 2529128 2671748 3793692 4007622 4675559 5343496 7587384 8015244 9351118 12690803 14026677 16030488 18702236 25381606 28053354 37404472 38072409 50763212 56106708 76144818 88835621 101526424 112213416 152289636 177671242 266506863 304579272 355342484 533013726 710684968 1066027452 2132054904