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1116735438 = 2371321311201
BaseRepresentation
bin100001010010000…
…0000011111001110
32212211100001000210
41002210000133032
54241341013223
6302451303250
736450044310
oct10244003716
92784301023
101116735438
11523405955
12271baab26
1314a490200
14a84577b0
156808e893
hex429007ce

1116735438 has 96 divisors (see below), whose sum is σ = 2787409152. Its totient is φ = 292032000.

The previous prime is 1116735407. The next prime is 1116735461. The reversal of 1116735438 is 8345376111.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 1116735396 and 1116735405.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 929238 + ... + 930438.

It is an arithmetic number, because the mean of its divisors is an integer number (29035512).

Almost surely, 21116735438 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1116735438, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1393704576).

1116735438 is an abundant number, since it is smaller than the sum of its proper divisors (1670673714).

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

1116735438 is a wasteful number, since it uses less digits than its factorization.

1116735438 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1370 (or 1357 counting only the distinct ones).

The product of its digits is 60480, while the sum is 39.

The square root of 1116735438 is about 33417.5917444690. The cubic root of 1116735438 is about 1037.4888373116.

The spelling of 1116735438 in words is "one billion, one hundred sixteen million, seven hundred thirty-five thousand, four hundred thirty-eight".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 131 169 182 262 273 338 393 507 546 786 917 1014 1183 1201 1703 1834 2366 2402 2751 3406 3549 3603 5109 5502 7098 7206 8407 10218 11921 15613 16814 22139 23842 25221 31226 35763 44278 46839 50442 66417 71526 93678 109291 132834 154973 157331 202969 218582 309946 314662 327873 405938 464919 471993 608907 655746 929838 943986 1101317 1217814 1420783 2045303 2202634 2841566 3303951 4090606 4262349 6135909 6607902 8524698 12271818 14317121 26588939 28634242 42951363 53177878 79766817 85902726 159533634 186122573 372245146 558367719 1116735438