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1380654072 = 23357711429
BaseRepresentation
bin101001001001011…
…0001101111111000
310120012221111100000
41102102301233320
510311421412242
6345000113000
746133236350
oct12222615770
93505844300
101380654072
11649385926
12326465760
13190066c95
14d1517b60
1581322a4c
hex524b1bf8

1380654072 has 192 divisors, whose sum is σ = 4497292800. Its totient is φ = 388644480.

The previous prime is 1380654071. The next prime is 1380654091. The reversal of 1380654072 is 2704560831.

1380654072 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1380654071) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 965454 + ... + 966882.

It is an arithmetic number, because the mean of its divisors is an integer number (23423400).

Almost surely, 21380654072 is an apocalyptic number.

1380654072 is a gapful number since it is divisible by the number (12) 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 1380654072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2248646400).

1380654072 is an abundant number, since it is smaller than the sum of its proper divisors (3116638728).

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

1380654072 is a wasteful number, since it uses less digits than its factorization.

1380654072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1528 (or 1512 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 1380654072 is about 37157.1537123069. The cubic root of 1380654072 is about 1113.5121479633.

The spelling of 1380654072 in words is "one billion, three hundred eighty million, six hundred fifty-four thousand, seventy-two".