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2745597140 = 22511136431493
BaseRepresentation
bin1010001110100110…
…0111110011010100
321002100022210012222
42203221213303110
521110333102030
61132235401512
7125016122246
oct24351476324
97070283188
102745597140
1111898aa850
126475b3298
13349a8cac0
141c0902096
151110903e5
hexa3a67cd4

2745597140 has 96 divisors (see below), whose sum is σ = 6788831616. Its totient is φ = 919549440.

The previous prime is 2745597139. The next prime is 2745597157. The reversal of 2745597140 is 417955472.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 2745597091 and 2745597100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1838234 + ... + 1839726.

It is an arithmetic number, because the mean of its divisors is an integer number (70716996).

Almost surely, 22745597140 is an apocalyptic number.

2745597140 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 2745597140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3394415808).

2745597140 is an abundant number, since it is smaller than the sum of its proper divisors (4043234476).

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

2745597140 is a wasteful number, since it uses less digits than its factorization.

2745597140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2169 (or 2167 counting only the distinct ones).

The product of its (nonzero) digits is 352800, while the sum is 44.

The square root of 2745597140 is about 52398.4459693224. The cubic root of 2745597140 is about 1400.2715697669.

The spelling of 2745597140 in words is "two billion, seven hundred forty-five million, five hundred ninety-seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 643 715 1286 1430 1493 2572 2860 2986 3215 5972 6430 7073 7465 8359 12860 14146 14930 16423 16718 19409 28292 29860 32846 33436 35365 38818 41795 65692 70730 77636 82115 83590 91949 97045 141460 164230 167180 183898 194090 213499 328460 367796 388180 426998 459745 853996 919490 959999 1067495 1838980 1919998 2134990 3839996 4269980 4799995 9599990 10559989 12479987 19199980 21119978 24959974 42239956 49919948 52799945 62399935 105599890 124799870 137279857 211199780 249599740 274559714 549119428 686399285 1372798570 2745597140