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1153980180 = 2232529221069
BaseRepresentation
bin100010011001000…
…0101011100010100
32222102102021012200
41010302011130110
54330404331210
6310301444500
740411445463
oct10462053424
92872367180
101153980180
11542434431
12282570730
13155100912
14ad3909da
156b49a0c0
hex44c85714

1153980180 has 72 divisors (see below), whose sum is σ = 3621126600. Its totient is φ = 297115392.

The previous prime is 1153980169. The next prime is 1153980211. The reversal of 1153980180 is 810893511.

It can be written as a sum of positive squares in 4 ways, for example, as 477772164 + 676208016 = 21858^2 + 26004^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 105315 + ... + 115754.

It is an arithmetic number, because the mean of its divisors is an integer number (50293425).

Almost surely, 21153980180 is an apocalyptic number.

1153980180 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1153980180 is an abundant number, since it is smaller than the sum of its proper divisors (2467146420).

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

1153980180 is a wasteful number, since it uses less digits than its factorization.

1153980180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221113 (or 221108 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 36.

The square root of 1153980180 is about 33970.2837786204. The cubic root of 1153980180 is about 1048.8968550315.

It can be divided in two parts, 11539 and 80180, that added together give a palindrome (91719).

The spelling of 1153980180 in words is "one billion, one hundred fifty-three million, nine hundred eighty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 221069 442138 663207 884276 1105345 1326414 1989621 2210690 2652828 3316035 3979242 4421380 6411001 6632070 7958484 9948105 12822002 13264140 19233003 19896210 25644004 32055005 38466006 39792420 57699009 64110010 76932012 96165015 115398018 128220020 192330030 230796036 288495045 384660060 576990090 1153980180