Search a number
-
+
742006140 = 2235173719661
BaseRepresentation
bin101100001110100…
…001110101111100
31220201012211001220
4230032201311330
53004423144030
6201343433340
724246643131
oct5416416574
91821184056
10742006140
11350930217
121885b5850
13ba9590b5
1470790588
154521da10
hex2c3a1d7c

742006140 has 96 divisors (see below), whose sum is σ = 2259399744. Its totient is φ = 181186560.

The previous prime is 742006121. The next prime is 742006147. The reversal of 742006140 is 41600247.

It is a super-2 number, since 2×7420061402 = 1101146223595399200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 742006140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742006147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27910 + ... + 47570.

It is an arithmetic number, because the mean of its divisors is an integer number (23535414).

Almost surely, 2742006140 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 742006140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1129699872).

742006140 is an abundant number, since it is smaller than the sum of its proper divisors (1517393604).

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

742006140 is a wasteful number, since it uses less digits than its factorization.

742006140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19727 (or 19725 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

The square root of 742006140 is about 27239.7896467649. The cubic root of 742006140 is about 905.3208023992.

Adding to 742006140 its reverse (41600247), we get a palindrome (783606387).

The spelling of 742006140 in words is "seven hundred forty-two million, six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 37 51 60 68 74 85 102 111 148 170 185 204 222 255 340 370 444 510 555 629 740 1020 1110 1258 1887 2220 2516 3145 3774 6290 7548 9435 12580 18870 19661 37740 39322 58983 78644 98305 117966 196610 235932 294915 334237 393220 589830 668474 727457 1002711 1179660 1336948 1454914 1671185 2005422 2182371 2909828 3342370 3637285 4010844 4364742 5013555 6684740 7274570 8729484 10027110 10911855 12366769 14549140 20054220 21823710 24733538 37100307 43647420 49467076 61833845 74200614 123667690 148401228 185501535 247335380 371003070 742006140