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1378871900 = 225274741911
BaseRepresentation
bin101001000101111…
…1110101001011100
310120002120221122122
41102023332221130
510310442400100
6344454002112
746112134460
oct12213765134
93502527578
101378871900
1164837895a
12325946338
1318c891a43
14d11b24a0
15810be985
hex522fea5c

1378871900 has 72 divisors (see below), whose sum is σ = 3492443136. Its totient is φ = 462686400.

The previous prime is 1378871891. The next prime is 1378871911. The reversal of 1378871900 is 91788731.

It is a super-2 number, since 2×13788719002 = 3802575433219220000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11945 + ... + 53855.

Almost surely, 21378871900 is an apocalyptic number.

1378871900 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 1378871900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1746221568).

1378871900 is an abundant number, since it is smaller than the sum of its proper divisors (2113571236).

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

1378871900 is a wasteful number, since it uses less digits than its factorization.

1378871900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41979 (or 41972 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 44.

The square root of 1378871900 is about 37133.1644221173. The cubic root of 1378871900 is about 1113.0328281279.

The spelling of 1378871900 in words is "one billion, three hundred seventy-eight million, eight hundred seventy-one thousand, nine hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 94 100 140 175 188 235 329 350 470 658 700 940 1175 1316 1645 2350 3290 4700 6580 8225 16450 32900 41911 83822 167644 209555 293377 419110 586754 838220 1047775 1173508 1466885 1969817 2095550 2933770 3939634 4191100 5867540 7334425 7879268 9849085 13788719 14668850 19698170 27577438 29337700 39396340 49245425 55154876 68943595 98490850 137887190 196981700 275774380 344717975 689435950 1378871900