Search a number
-
+
1380121500 = 223534122441
BaseRepresentation
bin101001001000010…
…1111101110011100
310120011221102210010
41102100233232130
510311302342000
6344540443220
746125560562
oct12220575634
93504842703
101380121500
1164905178a
12326249510
1318cc0b754
14d1419a32
1581269d50
hex5242fb9c

1380121500 has 96 divisors (see below), whose sum is σ = 4117119552. Its totient is φ = 359040000.

The previous prime is 1380121499. The next prime is 1380121511. The reversal of 1380121500 is 51210831.

1380121500 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50280 + ... + 72720.

It is an arithmetic number, because the mean of its divisors is an integer number (42886662).

Almost surely, 21380121500 is an apocalyptic number.

1380121500 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 1380121500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2058559776).

1380121500 is an abundant number, since it is smaller than the sum of its proper divisors (2736998052).

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

1380121500 is a wasteful number, since it uses less digits than its factorization.

1380121500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22504 (or 22492 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 1380121500 is about 37149.9865410474. The cubic root of 1380121500 is about 1113.3689545617.

The spelling of 1380121500 in words is "one billion, three hundred eighty million, one hundred twenty-one thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 41 50 60 75 82 100 123 125 150 164 205 246 250 300 375 410 492 500 615 750 820 1025 1230 1500 2050 2460 3075 4100 5125 6150 10250 12300 15375 20500 22441 30750 44882 61500 67323 89764 112205 134646 224410 269292 336615 448820 561025 673230 920081 1122050 1346460 1683075 1840162 2244100 2760243 2805125 3366150 3680324 4600405 5520486 5610250 6732300 8415375 9200810 11040972 11220500 13801215 16830750 18401620 23002025 27602430 33661500 46004050 55204860 69006075 92008100 115010125 138012150 230020250 276024300 345030375 460040500 690060750 1380121500