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2097283240 = 2351325572
BaseRepresentation
bin111110100000010…
…0000000010101000
312102011102000202001
41331000200002220
513243401030430
6544040020344
7102654420253
oct17500400250
95364360661
102097283240
11986952a38
124a64616b4
13275679400
1415c78009a
15c41cc3ca
hex7d0200a8

2097283240 has 72 divisors (see below), whose sum is σ = 5118991290. Its totient is φ = 772991232.

The previous prime is 2097283187. The next prime is 2097283283. The reversal of 2097283240 is 423827902.

It can be written as a sum of positive squares in 9 ways, for example, as 579557476 + 1517725764 = 24074^2 + 38958^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2097283240.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 3765042 + ... + 3765598.

Almost surely, 22097283240 is an apocalyptic number.

2097283240 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 2097283240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2559495645).

2097283240 is an abundant number, since it is smaller than the sum of its proper divisors (3021708050).

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

2097283240 is an equidigital number, since it uses as much as digits as its factorization.

2097283240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1151 (or 577 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 2097283240 is about 45796.1050745585. The cubic root of 2097283240 is about 1280.0267002894.

The spelling of 2097283240 in words is "two billion, ninety-seven million, two hundred eighty-three thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 169 260 338 520 557 676 845 1114 1352 1690 2228 2785 3380 4456 5570 6760 7241 11140 14482 22280 28964 36205 57928 72410 94133 144820 188266 289640 310249 376532 470665 620498 753064 941330 1240996 1551245 1882660 2481992 3102490 3765320 4033237 6204980 8066474 12409960 16132948 20166185 32265896 40332370 52432081 80664740 104864162 161329480 209728324 262160405 419456648 524320810 1048641620 2097283240