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1153200030 = 235411138297
BaseRepresentation
bin100010010111100…
…0110111110011110
32222100221122001020
41010233012332132
54330204400110
6310233025010
740402016133
oct10457067636
92870848036
101153200030
11541a51284
12282255166
13154bb97a8
14ad22a58a
156b393d70
hex44bc6f9e

1153200030 has 64 divisors (see below), whose sum is σ = 2860619328. Its totient is φ = 297328640.

The previous prime is 1153200019. The next prime is 1153200067. The reversal of 1153200030 is 300023511.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 1153199982 and 1153200009.

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, 134842 + ... + 143138.

It is an arithmetic number, because the mean of its divisors is an integer number (44697177).

Almost surely, 21153200030 is an apocalyptic number.

1153200030 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 1153200030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430309664).

1153200030 is an abundant number, since it is smaller than the sum of its proper divisors (1707419298).

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

1153200030 is a wasteful number, since it uses less digits than its factorization.

1153200030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8461.

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 1153200030 is about 33958.7990070320. The cubic root of 1153200030 is about 1048.6604323244.

Adding to 1153200030 its reverse (300023511), we get a palindrome (1453223541).

It can be divided in two parts, 11532000 and 30, that multiplied together give a square (345960000 = 186002).

The spelling of 1153200030 in words is "one billion, one hundred fifty-three million, two hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 113 123 205 226 246 339 410 565 615 678 1130 1230 1695 3390 4633 8297 9266 13899 16594 23165 24891 27798 41485 46330 49782 69495 82970 124455 138990 248910 340177 680354 937561 1020531 1700885 1875122 2041062 2812683 3401770 4687805 5102655 5625366 9375610 10205310 14063415 28126830 38440001 76880002 115320003 192200005 230640006 384400010 576600015 1153200030