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4072752140 = 2252353891877
BaseRepresentation
bin1111001011000001…
…0100010000001100
3101111211121020121212
43302300110100030
531320111032030
61512045113552
7202632551642
oct36260242014
911454536555
104072752140
1117aaa64a66
12957b588b8
134cba14b12
142a8c91192
1518c846595
hexf2c1440c

4072752140 has 96 divisors (see below), whose sum is σ = 9200096640. Its totient is φ = 1510885376.

The previous prime is 4072752139. The next prime is 4072752157. The reversal of 4072752140 is 412572704.

It is a junction number, because it is equal to n+sod(n) for n = 4072752097 and 4072752106.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2168882 + ... + 2170758.

It is an arithmetic number, because the mean of its divisors is an integer number (95834340).

Almost surely, 24072752140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4072752140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4600048320).

4072752140 is an abundant number, since it is smaller than the sum of its proper divisors (5127344500).

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

4072752140 is a wasteful number, since it uses less digits than its factorization.

4072752140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2051 (or 2049 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 32.

The square root of 4072752140 is about 63818.1176469504. The cubic root of 4072752140 is about 1596.9671898171.

The spelling of 4072752140 in words is "four billion, seventy-two million, seven hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 23 46 53 89 92 106 115 178 212 230 265 356 445 460 530 890 1060 1219 1780 1877 2047 2438 3754 4094 4717 4876 6095 7508 8188 9385 9434 10235 12190 18770 18868 20470 23585 24380 37540 40940 43171 47170 86342 94340 99481 108491 167053 172684 198962 215855 216982 334106 397924 431710 433964 497405 542455 668212 835265 863420 994810 1084910 1670530 1989620 2169820 2288063 3341060 3842219 4576126 7684438 8853809 9152252 11440315 15368876 17707618 19211095 22880630 35415236 38422190 44269045 45761260 76844380 88538090 177076180 203637607 407275214 814550428 1018188035 2036376070 4072752140