Search a number
-
+
742018140 = 2232547139631
BaseRepresentation
bin101100001110100…
…100110001011100
31220201020102112100
4230032210301130
53004424040030
6201344005100
724250023123
oct5416446134
91821212470
10742018140
11350939236
12188600790
13ba9616b6
1470794aba
1545222360
hex2c3a4c5c

742018140 has 144 divisors (see below), whose sum is σ = 2318883840. Its totient is φ = 191963520.

The previous prime is 742018129. The next prime is 742018141. The reversal of 742018140 is 41810247.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (742018141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1175625 + ... + 1176255.

It is an arithmetic number, because the mean of its divisors is an integer number (16103360).

Almost surely, 2742018140 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 742018140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1159441920).

742018140 is an abundant number, since it is smaller than the sum of its proper divisors (1576865700).

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

742018140 is a wasteful number, since it uses less digits than its factorization.

742018140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 827 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 742018140 is about 27240.0099118925. The cubic root of 742018140 is about 905.3256827681.

Adding to 742018140 its reverse (41810247), we get a palindrome (783828387).

The spelling of 742018140 in words is "seven hundred forty-two million, eighteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 139 141 180 188 235 278 282 417 423 470 556 564 631 695 705 834 846 940 1251 1262 1390 1410 1668 1692 1893 2085 2115 2502 2524 2780 2820 3155 3786 4170 4230 5004 5679 6255 6310 6533 7572 8340 8460 9465 11358 12510 12620 13066 18930 19599 22716 25020 26132 28395 29657 32665 37860 39198 56790 58797 59314 65330 78396 87709 88971 97995 113580 117594 118628 130660 148285 175418 177942 195990 235188 263127 266913 293985 296570 350836 355884 391980 438545 444855 526254 533826 587970 593140 789381 877090 889710 1052508 1067652 1175940 1315635 1334565 1578762 1754180 1779420 2631270 2669130 3157524 3946905 4122323 5262540 5338260 7893810 8244646 12366969 15787620 16489292 20611615 24733938 37100907 41223230 49467876 61834845 74201814 82446460 123669690 148403628 185504535 247339380 371009070 742018140