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1301154140 = 2251121359701
BaseRepresentation
bin100110110001110…
…0000100101011100
310100200100110221002
41031203200211130
510131043413030
6333040125432
744146425206
oct11543404534
93320313832
101301154140
11608516400
12303906878
131797503c0
14c4b41776
157936c245
hex4d8e095c

1301154140 has 144 divisors (see below), whose sum is σ = 3293952480. Its totient is φ = 428736000.

The previous prime is 1301154139. The next prime is 1301154149. The reversal of 1301154140 is 414511031.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301154149) 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, 1855790 + ... + 1856490.

It is an arithmetic number, because the mean of its divisors is an integer number (22874670).

Almost surely, 21301154140 is an apocalyptic number.

1301154140 is a gapful number since it is divisible by the number (10) 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 1301154140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1646976240).

1301154140 is an abundant number, since it is smaller than the sum of its proper divisors (1992798340).

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

1301154140 is a wasteful number, since it uses less digits than its factorization.

1301154140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 804 (or 791 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 1301154140 is about 36071.5142460086. The cubic root of 1301154140 is about 1091.7157670617.

Adding to 1301154140 its reverse (414511031), we get a palindrome (1715665171).

The spelling of 1301154140 in words is "one billion, three hundred one million, one hundred fifty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 59 65 110 118 121 130 143 220 236 242 260 286 295 484 572 590 605 649 701 715 767 1180 1210 1298 1402 1430 1534 1573 2420 2596 2804 2860 3068 3146 3245 3505 3835 6292 6490 7010 7139 7670 7711 7865 8437 9113 12980 14020 14278 15340 15422 15730 16874 18226 28556 30844 31460 33748 35695 36452 38555 41359 42185 45565 71390 77110 82718 84370 84821 91130 92807 100243 142780 154220 165436 168740 169642 182260 185614 200486 206795 339284 371228 400972 413590 424105 454949 464035 501215 537667 827180 848210 909898 928070 1002430 1075334 1102673 1696420 1819796 1856140 2004860 2150668 2205346 2274745 2688335 4410692 4549490 5004439 5376670 5513365 5914337 9098980 10008878 10753340 11026730 11828674 20017756 22053460 23657348 25022195 29571685 50044390 59143370 65057707 100088780 118286740 130115414 260230828 325288535 650577070 1301154140