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1396427058 = 232132479767
BaseRepresentation
bin101001100111011…
…1100100100110010
310121022121211210200
41103032330210302
510324441131213
6350322140030
746414301625
oct12316744462
93538554720
101396427058
11657279354
1232b7b1616
131933ca400
14d3661dbc
15828db273
hex533bc932

1396427058 has 72 divisors (see below), whose sum is σ = 3346282368. Its totient is φ = 420484896.

The previous prime is 1396427051. The next prime is 1396427069. The reversal of 1396427058 is 8507246931.

1396427058 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

1396427058 is strictly pandigital in base 10.

It is not an unprimeable number, because it can be changed into a prime (1396427051) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 138091 + ... + 147857.

It is an arithmetic number, because the mean of its divisors is an integer number (46476144).

It is a 1-persistent number, because it is pandigital, but 2⋅1396427058 = 2792854116 is not.

It is a vampire number, since it can be written as 2930147658 (with its own digits).

Almost surely, 21396427058 is an apocalyptic number.

1396427058 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1396427058, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1673141184).

1396427058 is an abundant number, since it is smaller than the sum of its proper divisors (1949855310).

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

1396427058 is a wasteful number, since it uses less digits than its factorization.

1396427058 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9848 (or 9832 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1396427058 is about 37368.7979201900. The cubic root of 1396427058 is about 1117.7364621304.

The spelling of 1396427058 in words is "one billion, three hundred ninety-six million, four hundred twenty-seven thousand, fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 47 78 94 117 141 169 234 282 338 423 507 611 846 1014 1222 1521 1833 3042 3666 5499 7943 9767 10998 15886 19534 23829 29301 47658 58602 71487 87903 126971 142974 175806 253942 380913 459049 761826 918098 1142739 1377147 1650623 2285478 2754294 3301246 4131441 4951869 5967637 8262882 9903738 11935274 14855607 17902911 29711214 35805822 53708733 77579281 107417466 155158562 232737843 465475686 698213529 1396427058