Search a number
-
+
1387090260 = 2232549915443
BaseRepresentation
bin101001010101101…
…0101000101010100
310120200001111010100
41102223111011110
510320043342020
6345350054100
746242033633
oct12253250524
93520044110
101387090260
11651a81496
1232864a330
131914ab68a
14d231151a
1581b94a90
hex52ad5154

1387090260 has 72 divisors (see below), whose sum is σ = 4216212000. Its totient is φ = 369125568.

The previous prime is 1387090253. The next prime is 1387090277. The reversal of 1387090260 is 620907831.

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, 82099 + ... + 97541.

It is an arithmetic number, because the mean of its divisors is an integer number (58558500).

Almost surely, 21387090260 is an apocalyptic number.

1387090260 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 1387090260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108106000).

1387090260 is an abundant number, since it is smaller than the sum of its proper divisors (2829121740).

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

1387090260 is a wasteful number, since it uses less digits than its factorization.

1387090260 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15957 (or 15952 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The square root of 1387090260 is about 37243.6606686292. The cubic root of 1387090260 is about 1115.2397508400.

The spelling of 1387090260 in words is "one billion, three hundred eighty-seven million, ninety thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 499 998 1497 1996 2495 2994 4491 4990 5988 7485 8982 9980 14970 15443 17964 22455 29940 30886 44910 46329 61772 77215 89820 92658 138987 154430 185316 231645 277974 308860 463290 555948 694935 926580 1389870 2779740 7706057 15412114 23118171 30824228 38530285 46236342 69354513 77060570 92472684 115590855 138709026 154121140 231181710 277418052 346772565 462363420 693545130 1387090260