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2931427120 = 245374912017
BaseRepresentation
bin1010111010111010…
…0000011100110000
321120021222221000211
42232232200130300
522000421131440
61202514353504
7132433501516
oct25656403460
97507887024
102931427120
111274794646
1269988b894
1337942547b
141db4764b6
1512254aeea
hexaeba0730

2931427120 has 80 divisors (see below), whose sum is σ = 7017506208. Its totient is φ = 1137991680.

The previous prime is 2931427111. The next prime is 2931427123. The reversal of 2931427120 is 217241392.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (2931427123) 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, 1452352 + ... + 1454368.

Almost surely, 22931427120 is an apocalyptic number.

2931427120 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 2931427120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3508753104).

2931427120 is an abundant number, since it is smaller than the sum of its proper divisors (4086079088).

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

2931427120 is a wasteful number, since it uses less digits than its factorization.

2931427120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2558 (or 2552 counting only the distinct ones).

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 2931427120 is about 54142.6552728992. The cubic root of 2931427120 is about 1431.1759639055.

The spelling of 2931427120 in words is "two billion, nine hundred thirty-one million, four hundred twenty-seven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 491 592 740 982 1480 1964 2017 2455 2960 3928 4034 4910 7856 8068 9820 10085 16136 18167 19640 20170 32272 36334 39280 40340 72668 74629 80680 90835 145336 149258 161360 181670 290672 298516 363340 373145 597032 726680 746290 990347 1194064 1453360 1492580 1980694 2985160 3961388 4951735 5970320 7922776 9903470 15845552 19806940 36642839 39613880 73285678 79227760 146571356 183214195 293142712 366428390 586285424 732856780 1465713560 2931427120