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1361267740 = 225737317829
BaseRepresentation
bin101000100100011…
…0100110000011100
310111212110120021201
41101020310300130
510241441031430
6343024405244
745506404420
oct12110646034
93455416251
101361267740
11639444668
1231ba76824
13189039c91
14ccb0cb80
157e7938ca
hex51234c1c

1361267740 has 96 divisors (see below), whose sum is σ = 3369985920. Its totient is φ = 452127744.

The previous prime is 1361267729. The next prime is 1361267771. The reversal of 1361267740 is 477621631.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a self number, because there is not a number n which added to its sum of digits gives 1361267740.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1641646 + ... + 1642474.

It is an arithmetic number, because the mean of its divisors is an integer number (35104020).

Almost surely, 21361267740 is an apocalyptic number.

1361267740 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 1361267740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1684992960).

1361267740 is an abundant number, since it is smaller than the sum of its proper divisors (2008718180).

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

1361267740 is a wasteful number, since it uses less digits than its factorization.

1361267740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1199 (or 1197 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 1361267740 is about 36895.3620391507. The cubic root of 1361267740 is about 1108.2758016129.

It can be divided in two parts, 136 and 1267740, that added together give a square (1267876 = 11262).

The spelling of 1361267740 in words is "one billion, three hundred sixty-one million, two hundred sixty-seven thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 317 370 518 634 740 829 1036 1268 1295 1585 1658 2219 2590 3170 3316 4145 4438 5180 5803 6340 8290 8876 11095 11606 11729 16580 22190 23212 23458 29015 30673 44380 46916 58030 58645 61346 82103 116060 117290 122692 153365 164206 214711 234580 262793 306730 328412 410515 429422 525586 613460 821030 858844 1051172 1073555 1313965 1642060 1839551 2147110 2627930 3679102 4294220 5255860 7358204 9197755 9723341 18395510 19446682 36791020 38893364 48616705 68063387 97233410 136126774 194466820 272253548 340316935 680633870 1361267740