Search a number
-
+
7730140 = 2251141857
BaseRepresentation
bin11101011111001111011100
3112112201202111
4131133033130
53434331030
6433403404
7122463565
oct35371734
915481674
107730140
1143aa850
122709564
1317a8662
14105316c
15a2a62a
hex75f3dc

7730140 has 48 divisors (see below), whose sum is σ = 18162144. Its totient is φ = 2739200.

The previous prime is 7730123. The next prime is 7730147. The reversal of 7730140 is 410377.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7730147) 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, 8592 + ... + 9448.

It is an arithmetic number, because the mean of its divisors is an integer number (378378).

Almost surely, 27730140 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 7730140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9081072).

7730140 is an abundant number, since it is smaller than the sum of its proper divisors (10432004).

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

7730140 is a wasteful number, since it uses less digits than its factorization.

7730140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 916 counting only the distinct ones).

The product of its (nonzero) digits is 588, while the sum is 22.

The square root of 7730140 is about 2780.3129320276. The cubic root of 7730140 is about 197.7253956111.

The spelling of 7730140 in words is "seven million, seven hundred thirty thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 857 902 1714 1804 2255 3428 4285 4510 8570 9020 9427 17140 18854 35137 37708 47135 70274 94270 140548 175685 188540 351370 386507 702740 773014 1546028 1932535 3865070 7730140