Search a number
-
+
7630140 = 2235737491
BaseRepresentation
bin11101000110110100111100
3112100122120210
4131012310330
53423131030
6431312420
7121566210
oct35066474
915318523
107630140
114341701
12267b710
131771c9b
141028940
15a0abb0
hex746d3c

7630140 has 96 divisors (see below), whose sum is σ = 25127424. Its totient is φ = 1693440.

The previous prime is 7630111. The next prime is 7630159. The reversal of 7630140 is 410367.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15295 + ... + 15785.

It is an arithmetic number, because the mean of its divisors is an integer number (261744).

Almost surely, 27630140 is an apocalyptic number.

7630140 is a gapful number since it is divisible by the number (70) 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 7630140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12563712).

7630140 is an abundant number, since it is smaller than the sum of its proper divisors (17497284).

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

7630140 is a wasteful number, since it uses less digits than its factorization.

7630140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 547 (or 545 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 7630140 is about 2762.2708049719. The cubic root of 7630140 is about 196.8690756595.

The spelling of 7630140 in words is "seven million, six hundred thirty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 37 42 60 70 74 84 105 111 140 148 185 210 222 259 370 420 444 491 518 555 740 777 982 1036 1110 1295 1473 1554 1964 2220 2455 2590 2946 3108 3437 3885 4910 5180 5892 6874 7365 7770 9820 10311 13748 14730 15540 17185 18167 20622 29460 34370 36334 41244 51555 54501 68740 72668 90835 103110 109002 127169 181670 206220 218004 254338 272505 363340 381507 508676 545010 635845 763014 1090020 1271690 1526028 1907535 2543380 3815070 7630140