Search a number
-
+
1480101140 = 225719599431
BaseRepresentation
bin101100000111000…
…1000110100010100
310211011001221001202
41120032020310110
511012401214030
6402511412032
751451436450
oct13016106424
93734057052
101480101140
1169a529991
12353824018
131a7845bbb
14100803660
1589e18745
hex58388d14

1480101140 has 96 divisors (see below), whose sum is σ = 3802982400. Its totient is φ = 472556160.

The previous prime is 1480101137. The next prime is 1480101149. The reversal of 1480101140 is 411010841.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1480101149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 152225 + ... + 161655.

It is an arithmetic number, because the mean of its divisors is an integer number (39614400).

Almost surely, 21480101140 is an apocalyptic number.

1480101140 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 1480101140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1901491200).

1480101140 is an abundant number, since it is smaller than the sum of its proper divisors (2322881260).

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

1480101140 is a wasteful number, since it uses less digits than its factorization.

1480101140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9525 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 20.

The square root of 1480101140 is about 38472.0826054426. The cubic root of 1480101140 is about 1139.6298018239.

Adding to 1480101140 its reverse (411010841), we get a palindrome (1891111981).

The spelling of 1480101140 in words is "one billion, four hundred eighty million, one hundred one thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 19 20 28 35 38 59 70 76 95 118 133 140 190 236 266 295 380 413 532 590 665 826 1121 1180 1330 1652 2065 2242 2660 4130 4484 5605 7847 8260 9431 11210 15694 18862 22420 31388 37724 39235 47155 66017 78470 94310 132034 156940 179189 188620 264068 330085 358378 556429 660170 716756 895945 1112858 1254323 1320340 1791890 2225716 2508646 2782145 3583780 3895003 5017292 5564290 6271615 7790006 10572151 11128580 12543230 15580012 19475015 21144302 25086460 38950030 42288604 52860755 74005057 77900060 105721510 148010114 211443020 296020228 370025285 740050570 1480101140