Search a number
-
+
15072031280 = 245613179743
BaseRepresentation
bin11100000100101110…
…01111001000110000
31102220101200112000202
432002113033020300
5221331420000110
610531325534332
71042333103105
oct160227171060
942811615022
1015072031280
1164348501a9
122b077143a8
131562749307
14a2da14aac
155d32e20a5
hex3825cf230

15072031280 has 80 divisors (see below), whose sum is σ = 35732962944. Its totient is φ = 5910666240.

The previous prime is 15072031277. The next prime is 15072031283. The reversal of 15072031280 is 8213027051.

It is an interprime number because it is at equal distance from previous prime (15072031277) and next prime (15072031283).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×150720312802 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (15072031283) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1542089 + ... + 1551831.

Almost surely, 215072031280 is an apocalyptic number.

15072031280 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 15072031280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17866481472).

15072031280 is an abundant number, since it is smaller than the sum of its proper divisors (20660931664).

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

15072031280 is a wasteful number, since it uses less digits than its factorization.

15072031280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10134 (or 10128 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 15072031280 in words is "fifteen billion, seventy-two million, thirty-one thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 61 80 122 244 305 317 488 610 634 976 1220 1268 1585 2440 2536 3170 4880 5072 6340 9743 12680 19337 19486 25360 38674 38972 48715 77348 77944 96685 97430 154696 155888 193370 194860 309392 386740 389720 594323 773480 779440 1188646 1546960 2377292 2971615 3088531 4754584 5943230 6177062 9509168 11886460 12354124 15442655 23772920 24708248 30885310 47545840 49416496 61770620 123541240 188400391 247082480 376800782 753601564 942001955 1507203128 1884003910 3014406256 3768007820 7536015640 15072031280