Search a number
-
+
1338964900 = 2252713147139
BaseRepresentation
bin100111111001110…
…1111101110100100
310110022111110112121
41033303233232210
510220233334100
6340510355324
745116004520
oct11763575644
93408443477
101338964900
116278a1169
123144bbb44
1318452b630
14c9b84d80
157c83a51a
hex4fcefba4

1338964900 has 72 divisors (see below), whose sum is σ = 3576090560. Its totient is φ = 423757440.

The previous prime is 1338964883. The next prime is 1338964901. The reversal of 1338964900 is 94698331.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (1338964901) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 64470 + ... + 82669.

Almost surely, 21338964900 is an apocalyptic number.

1338964900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1338964900 is an abundant number, since it is smaller than the sum of its proper divisors (2237125660).

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

1338964900 is a wasteful number, since it uses less digits than its factorization.

1338964900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147173 (or 147166 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 43.

The square root of 1338964900 is about 36591.8693154641. The cubic root of 1338964900 is about 1102.1898250407.

The spelling of 1338964900 in words is "one billion, three hundred thirty-eight million, nine hundred sixty-four thousand, nine hundred".

Divisors: 1 2 4 5 7 10 13 14 20 25 26 28 35 50 52 65 70 91 100 130 140 175 182 260 325 350 364 455 650 700 910 1300 1820 2275 4550 9100 147139 294278 588556 735695 1029973 1471390 1912807 2059946 2942780 3678475 3825614 4119892 5149865 7356950 7651228 9564035 10299730 13389649 14713900 19128070 20599460 25749325 26779298 38256140 47820175 51498650 53558596 66948245 95640350 102997300 133896490 191280700 267792980 334741225 669482450 1338964900