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2158084080 = 243357912647
BaseRepresentation
bin1000000010100001…
…1011111111110000
312120101211000211000
42000220123333300
513404432142310
6554051122000
7104323261215
oct20050337760
95511730730
102158084080
11a08200569
125028a3300
13285146a39
14166889b0c
15c96dc4c0
hex80a1bff0

2158084080 has 160 divisors (see below), whose sum is σ = 7528089600. Its totient is φ = 568159488.

The previous prime is 2158084073. The next prime is 2158084099. The reversal of 2158084080 is 804808512.

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 polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164317 + ... + 176963.

It is an arithmetic number, because the mean of its divisors is an integer number (47050560).

Almost surely, 22158084080 is an apocalyptic number.

2158084080 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 2158084080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3764044800).

2158084080 is an abundant number, since it is smaller than the sum of its proper divisors (5370005520).

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

2158084080 is a wasteful number, since it uses less digits than its factorization.

2158084080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12748 (or 12736 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 36.

The square root of 2158084080 is about 46455.1835643774. The cubic root of 2158084080 is about 1292.2785042466.

The spelling of 2158084080 in words is "two billion, one hundred fifty-eight million, eighty-four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 79 80 90 108 120 135 144 158 180 216 237 240 270 316 360 395 432 474 540 632 711 720 790 948 1080 1185 1264 1422 1580 1896 2133 2160 2370 2844 3160 3555 3792 4266 4740 5688 6320 7110 8532 9480 10665 11376 12647 14220 17064 18960 21330 25294 28440 34128 37941 42660 50588 56880 63235 75882 85320 101176 113823 126470 151764 170640 189705 202352 227646 252940 303528 341469 379410 455292 505880 569115 607056 682938 758820 910584 999113 1011760 1138230 1365876 1517640 1707345 1821168 1998226 2276460 2731752 2997339 3035280 3414690 3996452 4552920 4995565 5463504 5994678 6829380 7992904 8992017 9105840 9991130 11989356 13658760 14986695 15985808 17984034 19982260 23978712 26976051 27317520 29973390 35968068 39964520 44960085 47957424 53952102 59946780 71936136 79929040 89920170 107904204 119893560 134880255 143872272 179840340 215808408 239787120 269760510 359680680 431616816 539521020 719361360 1079042040 2158084080