Search a number
-
+
1379771640 = 23325131959263
BaseRepresentation
bin101001000111101…
…1010010011111000
310120011021122212100
41102033122103320
510311210143030
6344525143400
746122602562
oct12217322370
93504248770
101379771640
11648932945
123260bab60
1318cb18430
14d1368332
15811eb360
hex523da4f8

1379771640 has 384 divisors, whose sum is σ = 5189184000. Its totient is φ = 315104256.

The previous prime is 1379771639. The next prime is 1379771651. The reversal of 1379771640 is 461779731.

It is a happy number.

1379771640 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5246149 + ... + 5246411.

It is an arithmetic number, because the mean of its divisors is an integer number (13513500).

Almost surely, 21379771640 is an apocalyptic number.

1379771640 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 1379771640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2594592000).

1379771640 is an abundant number, since it is smaller than the sum of its proper divisors (3809412360).

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

1379771640 is a wasteful number, since it uses less digits than its factorization.

1379771640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 222264, while the sum is 45.

The square root of 1379771640 is about 37145.2774925696. The cubic root of 1379771640 is about 1113.2748671494.

The spelling of 1379771640 in words is "one billion, three hundred seventy-nine million, seven hundred seventy-one thousand, six hundred forty".