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1396725120 = 2735571283
BaseRepresentation
bin101001101000000…
…0101010110000000
310121100011222200000
41103100011112000
510330030200440
6350332400000
746416652620
oct12320052600
93540158600
101396725120
1165746228a
1232b916000
131934a2c8b
14d36dc880
1582949730
hex53405580

1396725120 has 384 divisors, whose sum is σ = 5720682240. Its totient is φ = 319002624.

The previous prime is 1396725101. The next prime is 1396725139. The reversal of 1396725120 is 215276931.

1396725120 is a `hidden beast` number, since 139 + 6 + 7 + 2 + 512 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1396725101) and next prime (1396725139).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1087999 + ... + 1089281.

It is an arithmetic number, because the mean of its divisors is an integer number (14897610).

It is a vampire number, since it can be written as 1512092376 (with its own digits).

Almost surely, 21396725120 is an apocalyptic number.

1396725120 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 1396725120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2860341120).

1396725120 is an abundant number, since it is smaller than the sum of its proper divisors (4323957120).

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

1396725120 is an equidigital number, since it uses as much as digits as its factorization.

1396725120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The square root of 1396725120 is about 37372.7858207011. The cubic root of 1396725120 is about 1117.8159819933.

The spelling of 1396725120 in words is "one billion, three hundred ninety-six million, seven hundred twenty-five thousand, one hundred twenty".