Search a number
-
+
1540172260 = 2251145715319
BaseRepresentation
bin101101111001101…
…0010100111100100
310222100002212011001
41123303102213210
511123241003020
6412455123044
753111151064
oct13363224744
93870085131
101540172260
11720429240
1236b973484
131b7119343
1410879d3a4
159033250a
hex5bcd29e4

1540172260 has 48 divisors (see below), whose sum is σ = 3536346240. Its totient is φ = 558800640.

The previous prime is 1540172251. The next prime is 1540172269. The reversal of 1540172260 is 622710451.

It is an interprime number because it is at equal distance from previous prime (1540172251) and next prime (1540172269).

It is not an unprimeable number, because it can be changed into a prime (1540172269) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92881 + ... + 108199.

It is an arithmetic number, because the mean of its divisors is an integer number (73673880).

Almost surely, 21540172260 is an apocalyptic number.

1540172260 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 1540172260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1768173120).

1540172260 is an abundant number, since it is smaller than the sum of its proper divisors (1996173980).

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

1540172260 is a wasteful number, since it uses less digits than its factorization.

1540172260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15796 (or 15794 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 1540172260 is about 39245.0284749546. The cubic root of 1540172260 is about 1154.8434062421.

The spelling of 1540172260 in words is "one billion, five hundred forty million, one hundred seventy-two thousand, two hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 457 914 1828 2285 4570 5027 9140 10054 15319 20108 25135 30638 50270 61276 76595 100540 153190 168509 306380 337018 674036 842545 1685090 3370180 7000783 14001566 28003132 35003915 70007830 77008613 140015660 154017226 308034452 385043065 770086130 1540172260