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2158071000 = 23353811887
BaseRepresentation
bin1000000010100001…
…1000110011011000
312120101210100212120
42000220120303120
513404431233000
6554050541240
7104323205121
oct20050306330
95511710776
102158071000
11a081a1758
12502897820
13285140ab7
14166885048
15c96d86a0
hex80a18cd8

2158071000 has 128 divisors (see below), whose sum is σ = 6749084160. Its totient is φ = 574128000.

The previous prime is 2158070987. The next prime is 2158071017. The reversal of 2158071000 is 1708512.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2432557 + ... + 2433443.

It is an arithmetic number, because the mean of its divisors is an integer number (52727220).

Almost surely, 22158071000 is an apocalyptic number.

2158071000 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 2158071000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3374542080).

2158071000 is an abundant number, since it is smaller than the sum of its proper divisors (4591013160).

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

2158071000 is a wasteful number, since it uses less digits than its factorization.

2158071000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1722 (or 1708 counting only the distinct ones).

The product of its (nonzero) digits is 560, while the sum is 24.

The square root of 2158071000 is about 46455.0427833190. The cubic root of 2158071000 is about 1292.2758934374.

Adding to 2158071000 its reverse (1708512), we get a palindrome (2159779512).

The spelling of 2158071000 in words is "two billion, one hundred fifty-eight million, seventy-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 811 887 1000 1500 1622 1774 2433 2661 3000 3244 3548 4055 4435 4866 5322 6488 7096 8110 8870 9732 10644 12165 13305 16220 17740 19464 20275 21288 22175 24330 26610 32440 35480 40550 44350 48660 53220 60825 66525 81100 88700 97320 101375 106440 110875 121650 133050 162200 177400 202750 221750 243300 266100 304125 332625 405500 443500 486600 532200 608250 665250 719357 811000 887000 1216500 1330500 1438714 2158071 2433000 2661000 2877428 3596785 4316142 5754856 7193570 8632284 10790355 14387140 17264568 17983925 21580710 28774280 35967850 43161420 53951775 71935700 86322840 89919625 107903550 143871400 179839250 215807100 269758875 359678500 431614200 539517750 719357000 1079035500 2158071000