Search a number
-
+
1388062980 = 22345877977
BaseRepresentation
bin101001010111100…
…0010100100000100
310120201212220110000
41102233002210010
510320321003410
6345423001300
746253224563
oct12257024404
93521786400
101388062980
11652586297
12328a39230
1319175c355
14d24c5bda
1581cd7dc0
hex52bc2904

1388062980 has 120 divisors (see below), whose sum is σ = 4363832088. Its totient is φ = 369349632.

The previous prime is 1388062967. The next prime is 1388062987. The reversal of 1388062980 is 892608831.

1388062980 is a `hidden beast` number, since 13 + 8 + 8 + 0 + 629 + 8 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 679332096 + 708730884 = 26064^2 + 26622^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1388062987) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1420252 + ... + 1421228.

Almost surely, 21388062980 is an apocalyptic number.

1388062980 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 1388062980, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2181916044).

1388062980 is an abundant number, since it is smaller than the sum of its proper divisors (2975769108).

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

1388062980 is a wasteful number, since it uses less digits than its factorization.

1388062980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875 (or 1864 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 1388062980 is about 37256.7172466926. The cubic root of 1388062980 is about 1115.5003833690.

The spelling of 1388062980 in words is "one billion, three hundred eighty-eight million, sixty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 270 324 405 540 810 877 977 1620 1754 1954 2631 2931 3508 3908 4385 4885 5262 5862 7893 8770 8793 9770 10524 11724 13155 14655 15786 17540 17586 19540 23679 26310 26379 29310 31572 35172 39465 43965 47358 52620 52758 58620 71037 78930 79137 87930 94716 105516 118395 131895 142074 157860 158274 175860 236790 263790 284148 316548 355185 395685 473580 527580 710370 791370 856829 1420740 1582740 1713658 2570487 3427316 4284145 5140974 7711461 8568290 10281948 12852435 15422922 17136580 23134383 25704870 30845844 38557305 46268766 51409740 69403149 77114610 92537532 115671915 138806298 154229220 231343830 277612596 347015745 462687660 694031490 1388062980