Search a number
-
+
1387637920 = 255171912671
BaseRepresentation
bin101001010110101…
…1010110010100000
310120201002022101001
41102231122302200
510320213403140
6345405521344
746246504414
oct12255326240
93521068331
101387637920
116523159a9
12328873254
13191640a36
14d2414d44
1581c51e9a
hex52b5aca0

1387637920 has 96 divisors (see below), whose sum is σ = 3490615296. Its totient is φ = 519475200.

The previous prime is 1387637897. The next prime is 1387637921. The reversal of 1387637920 is 297367831.

It is a happy number.

It is a super-5 number, since 5×13876379205 (a number of 47 digits) contains 55555 as substring.

It is not an unprimeable number, because it can be changed into a prime (1387637921) 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, 518185 + ... + 520855.

It is an arithmetic number, because the mean of its divisors is an integer number (36360576).

Almost surely, 21387637920 is an apocalyptic number.

1387637920 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 1387637920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1745307648).

1387637920 is an abundant number, since it is smaller than the sum of its proper divisors (2102977376).

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

1387637920 is a wasteful number, since it uses less digits than its factorization.

1387637920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2894 (or 2886 counting only the distinct ones).

The product of its (nonzero) digits is 381024, while the sum is 46.

The square root of 1387637920 is about 37251.0123352373. The cubic root of 1387637920 is about 1115.3865069318.

The spelling of 1387637920 in words is "one billion, three hundred eighty-seven million, six hundred thirty-seven thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 68 80 85 136 160 170 191 272 340 382 544 680 764 955 1360 1528 1910 2671 2720 3056 3247 3820 5342 6112 6494 7640 10684 12988 13355 15280 16235 21368 25976 26710 30560 32470 42736 45407 51952 53420 64940 85472 90814 103904 106840 129880 181628 213680 227035 259760 363256 427360 454070 510161 519520 726512 908140 1020322 1453024 1816280 2040644 2550805 3632560 4081288 5101610 7265120 8162576 8672737 10203220 16325152 17345474 20406440 34690948 40812880 43363685 69381896 81625760 86727370 138763792 173454740 277527584 346909480 693818960 1387637920