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1465140180 = 223572607821
BaseRepresentation
bin101011101010100…
…0100001111010100
310210002220211111010
41113111010033110
511000033441210
6401215012220
751210325500
oct12725041724
93702824433
101465140180
11692040559
1234a80a070
131a470826a
14dc82b300
1588960920
hex575443d4

1465140180 has 144 divisors (see below), whose sum is σ = 4785854976. Its totient is φ = 333930240.

The previous prime is 1465140143. The next prime is 1465140221. The reversal of 1465140180 is 810415641.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1784170 + ... + 1784990.

It is an arithmetic number, because the mean of its divisors is an integer number (33235104).

Almost surely, 21465140180 is an apocalyptic number.

1465140180 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 1465140180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2392927488).

1465140180 is an abundant number, since it is smaller than the sum of its proper divisors (3320714796).

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

1465140180 is a wasteful number, since it uses less digits than its factorization.

1465140180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1454 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 1465140180 is about 38277.1495803959. The cubic root of 1465140180 is about 1135.7769732191.

The spelling of 1465140180 in words is "one billion, four hundred sixty-five million, one hundred forty thousand, one hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 98 105 140 147 196 210 245 294 420 490 588 607 735 821 980 1214 1470 1642 1821 2428 2463 2940 3035 3284 3642 4105 4249 4926 5747 6070 7284 8210 8498 9105 9852 11494 12140 12315 12747 16420 16996 17241 18210 21245 22988 24630 25494 28735 29743 34482 36420 40229 42490 49260 50988 57470 59486 63735 68964 80458 84980 86205 89229 114940 118972 120687 127470 148715 160916 172410 178458 201145 241374 254940 297430 344820 356916 402290 446145 482748 498347 594860 603435 804580 892290 996694 1206870 1495041 1784580 1993388 2413740 2491735 2990082 3488429 4983470 5980164 6976858 7475205 9966940 10465287 13953716 14950410 17442145 20930574 24419003 29900820 34884290 41861148 48838006 52326435 69768580 73257009 97676012 104652870 122095015 146514018 209305740 244190030 293028036 366285045 488380060 732570090 1465140180