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1155113730 = 233537432689
BaseRepresentation
bin100010011011001…
…1010001100000010
32222111112212011000
41010312122030002
54331202114410
6310342032430
740424206341
oct10466321402
92874485130
101155113730
11543039051
12282a18716
13155409864
14ad5a7b58
156b620dc0
hex44d9a302

1155113730 has 128 divisors (see below), whose sum is σ = 3238329600. Its totient is φ = 292626432.

The previous prime is 1155113717. The next prime is 1155113731. The reversal of 1155113730 is 373115511.

1155113730 is a `hidden beast` number, since 115 + 511 + 3 + 7 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1155113694 and 1155113703.

It is not an unprimeable number, because it can be changed into a prime (1155113731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 428226 + ... + 430914.

It is an arithmetic number, because the mean of its divisors is an integer number (25299450).

Almost surely, 21155113730 is an apocalyptic number.

1155113730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1155113730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1619164800).

1155113730 is an abundant number, since it is smaller than the sum of its proper divisors (2083215870).

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

1155113730 is a wasteful number, since it uses less digits than its factorization.

1155113730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2785 (or 2779 counting only the distinct ones).

The product of its (nonzero) digits is 1575, while the sum is 27.

The square root of 1155113730 is about 33986.9641186147. The cubic root of 1155113730 is about 1049.2401849990.

It can be divided in two parts, 11551 and 13730, that added together give a square (25281 = 1592).

The spelling of 1155113730 in words is "one billion, one hundred fifty-five million, one hundred thirteen thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 37 43 45 54 74 86 90 111 129 135 185 215 222 258 270 333 370 387 430 555 645 666 774 999 1110 1161 1290 1591 1665 1935 1998 2322 2689 3182 3330 3870 4773 4995 5378 5805 7955 8067 9546 9990 11610 13445 14319 15910 16134 23865 24201 26890 28638 40335 42957 47730 48402 71595 72603 80670 85914 99493 115627 121005 143190 145206 198986 214785 231254 242010 298479 346881 363015 429570 497465 578135 596958 693762 726030 895437 994930 1040643 1156270 1492395 1734405 1790874 2081286 2686311 2984790 3121929 3468810 4278199 4477185 5203215 5372622 6243858 8556398 8954370 10406430 12834597 13431555 15609645 21390995 25669194 26863110 31219290 38503791 42781990 64172985 77007582 115511373 128345970 192518955 231022746 385037910 577556865 1155113730