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2674897120 = 25572579293
BaseRepresentation
bin1001111101101111…
…1011000011100000
320220102021212000201
42133123323003200
520434233201440
61121232154544
7123200151610
oct23733730340
96812255021
102674897120
111152a00885
12627998a54
1333823777c
141b537aa40
15109c7719a
hex9f6fb0e0

2674897120 has 96 divisors (see below), whose sum is σ = 7251104448. Its totient is φ = 913440768.

The previous prime is 2674897117. The next prime is 2674897163. The reversal of 2674897120 is 217984762.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 283194 + ... + 292486.

It is an arithmetic number, because the mean of its divisors is an integer number (75532338).

Almost surely, 22674897120 is an apocalyptic number.

2674897120 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 2674897120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3625552224).

2674897120 is an abundant number, since it is smaller than the sum of its proper divisors (4576207328).

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

2674897120 is a wasteful number, since it uses less digits than its factorization.

2674897120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9572 (or 9564 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 46.

The square root of 2674897120 is about 51719.4075758801. The cubic root of 2674897120 is about 1388.1477528488.

The spelling of 2674897120 in words is "two billion, six hundred seventy-four million, eight hundred ninety-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 70 80 112 140 160 224 257 280 514 560 1028 1120 1285 1799 2056 2570 3598 4112 5140 7196 8224 8995 9293 10280 14392 17990 18586 20560 28784 35980 37172 41120 46465 57568 65051 71960 74344 92930 130102 143920 148688 185860 260204 287840 297376 325255 371720 520408 650510 743440 1040816 1301020 1486880 2081632 2388301 2602040 4776602 5204080 9553204 10408160 11941505 16718107 19106408 23883010 33436214 38212816 47766020 66872428 76425632 83590535 95532040 133744856 167181070 191064080 267489712 334362140 382128160 534979424 668724280 1337448560 2674897120