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2868981120 = 2734555343
BaseRepresentation
bin1010101100000001…
…0010110110000000
321101221111100020000
42223000102312000
521333424343440
61152404120000
7131044636305
oct25300226600
97357440200
102868981120
111242512a85
12680996000
13369500085
141d305d0ac
1511bd13730
hexab012d80

2868981120 has 160 divisors (see below), whose sum is σ = 10245834720. Its totient is φ = 765047808.

The previous prime is 2868981077. The next prime is 2868981179. The reversal of 2868981120 is 211898682.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (45).

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 19 ways as a sum of consecutive naturals, for example, 24169 + ... + 79511.

It is an arithmetic number, because the mean of its divisors is an integer number (64036467).

Almost surely, 22868981120 is an apocalyptic number.

2868981120 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 2868981120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5122917360).

2868981120 is an abundant number, since it is smaller than the sum of its proper divisors (7376853600).

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

2868981120 is an equidigital number, since it uses as much as digits as its factorization.

2868981120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55374 (or 55353 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The square root of 2868981120 is about 53562.8707221710. The cubic root of 2868981120 is about 1420.9405129476.

The spelling of 2868981120 in words is "two billion, eight hundred sixty-eight million, nine hundred eighty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 81 90 96 108 120 128 135 144 160 162 180 192 216 240 270 288 320 324 360 384 405 432 480 540 576 640 648 720 810 864 960 1080 1152 1296 1440 1620 1728 1920 2160 2592 2880 3240 3456 4320 5184 5760 6480 8640 10368 12960 17280 25920 51840 55343 110686 166029 221372 276715 332058 442744 498087 553430 664116 830145 885488 996174 1106860 1328232 1494261 1660290 1770976 1992348 2213720 2490435 2656464 2988522 3320580 3541952 3984696 4427440 4482783 4980870 5312928 5977044 6641160 7083904 7471305 7969392 8854880 8965566 9961740 10625856 11954088 13282320 14942610 15938784 17709760 17931132 19923480 21251712 22413915 23908176 26564640 29885220 31877568 35419520 35862264 39846960 44827830 47816352 53129280 59770440 63755136 71724528 79693920 89655660 95632704 106258560 119540880 143449056 159387840 179311320 191265408 239081760 286898112 318775680 358622640 478163520 573796224 717245280 956327040 1434490560 2868981120