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2742476160 = 27356721319
BaseRepresentation
bin1010001101110110…
…1101110110000000
321002010110020001010
42203131231312000
521104033214120
61132044440520
7124650443214
oct24335556600
97063406033
102742476160
111188068a26
12646549140
13349239378
141c032c944
15110b757e0
hexa376dd80

2742476160 has 128 divisors (see below), whose sum is σ = 8872531200. Its totient is φ = 720377856.

The previous prime is 2742476119. The next prime is 2742476161. The reversal of 2742476160 is 616742472.

2742476160 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742476161) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 117981 + ... + 139299.

It is an arithmetic number, because the mean of its divisors is an integer number (69316650).

Almost surely, 22742476160 is an apocalyptic number.

2742476160 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 2742476160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4436265600).

2742476160 is an abundant number, since it is smaller than the sum of its proper divisors (6130055040).

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

2742476160 is a wasteful number, since it uses less digits than its factorization.

2742476160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21408 (or 21396 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The square root of 2742476160 is about 52368.6562745312. The cubic root of 2742476160 is about 1399.7407955497.

The spelling of 2742476160 in words is "two billion, seven hundred forty-two million, four hundred seventy-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 67 80 96 120 128 134 160 192 201 240 268 320 335 384 402 480 536 640 670 804 960 1005 1072 1340 1608 1920 2010 2144 2680 3216 4020 4288 5360 6432 8040 8576 10720 12864 16080 21319 21440 25728 32160 42638 42880 63957 64320 85276 106595 127914 128640 170552 213190 255828 319785 341104 426380 511656 639570 682208 852760 1023312 1279140 1364416 1428373 1705520 2046624 2558280 2728832 2856746 3411040 4093248 4285119 5116560 5713492 6822080 7141865 8186496 8570238 10233120 11426984 13644160 14283730 17140476 20466240 21425595 22853968 28567460 34280952 40932480 42851190 45707936 57134920 68561904 85702380 91415872 114269840 137123808 171404760 182831744 228539680 274247616 342809520 457079360 548495232 685619040 914158720 1371238080 2742476160