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2132364520 = 23511131013691
BaseRepresentation
bin111111100011001…
…0100110011101000
312111121102100012201
41333012110303220
513331341131040
6551331545544
7103561541116
oct17706246350
95447370181
102132364520
119a4734030
124b615b2b4
1327ca10170
141632b2ab6
15c730ba9a
hex7f194ce8

2132364520 has 128 divisors (see below), whose sum is σ = 5693950080. Its totient is φ = 708480000.

The previous prime is 2132364517. The next prime is 2132364541. The reversal of 2132364520 is 254632312.

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, 575875 + ... + 579565.

It is an arithmetic number, because the mean of its divisors is an integer number (44483985).

Almost surely, 22132364520 is an apocalyptic number.

2132364520 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 2132364520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2846975040).

2132364520 is an abundant number, since it is smaller than the sum of its proper divisors (3561585560).

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

2132364520 is a wasteful number, since it uses less digits than its factorization.

2132364520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3827 (or 3823 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 28.

The square root of 2132364520 is about 46177.5326322228. The cubic root of 2132364520 is about 1287.1242793451.

Adding to 2132364520 its reverse (254632312), we get a palindrome (2386996832).

The spelling of 2132364520 in words is "two billion, one hundred thirty-two million, three hundred sixty-four thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 44 52 55 65 88 101 104 110 130 143 202 220 260 286 404 440 505 520 572 715 808 1010 1111 1144 1313 1430 2020 2222 2626 2860 3691 4040 4444 5252 5555 5720 6565 7382 8888 10504 11110 13130 14443 14764 18455 22220 26260 28886 29528 36910 40601 44440 47983 52520 57772 72215 73820 81202 95966 115544 144430 147640 162404 191932 203005 239915 288860 324808 372791 383864 406010 479830 527813 577720 745582 812020 959660 1055626 1491164 1624040 1863955 1919320 2111252 2639065 2982328 3727910 4100701 4222504 4846283 5278130 7455820 8201402 9692566 10556260 14911640 16402804 19385132 20503505 21112520 24231415 32805608 38770264 41007010 48462830 53309113 82014020 96925660 106618226 164028040 193851320 213236452 266545565 426472904 533091130 1066182260 2132364520