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1395898056 = 233377113003
BaseRepresentation
bin101001100110011…
…1011011011001000
310121021121222011000
41103030323123020
510324322214211
6350302535000
746406636430
oct12314733310
93537558130
101395898056
11656a47963
1232b597460
131932736a7
14d35652c0
1582834656
hex5333b6c8

1395898056 has 128 divisors (see below), whose sum is σ = 4494182400. Its totient is φ = 393180480.

The previous prime is 1395897989. The next prime is 1395898111. The reversal of 1395898056 is 6508985931.

It is a happy number.

1395898056 is a `hidden beast` number, since 1 + 3 + 9 + 589 + 8 + 0 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1395897993 and 1395898011.

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, 100851 + ... + 113853.

It is an arithmetic number, because the mean of its divisors is an integer number (35110800).

Almost surely, 21395898056 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1395898056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2247091200).

1395898056 is an abundant number, since it is smaller than the sum of its proper divisors (3098284344).

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

1395898056 is a wasteful number, since it uses less digits than its factorization.

1395898056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13096 (or 13086 counting only the distinct ones).

The product of its (nonzero) digits is 2332800, while the sum is 54.

The square root of 1395898056 is about 37361.7191253293. The cubic root of 1395898056 is about 1117.5953019934.

The spelling of 1395898056 in words is "one billion, three hundred ninety-five million, eight hundred ninety-eight thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 71 72 84 108 126 142 168 189 213 216 252 284 378 426 497 504 568 639 756 852 994 1278 1491 1512 1704 1917 1988 2556 2982 3834 3976 4473 5112 5964 7668 8946 11928 13003 13419 15336 17892 26006 26838 35784 39009 52012 53676 78018 91021 104024 107352 117027 156036 182042 234054 273063 312072 351081 364084 468108 546126 702162 728168 819189 923213 936216 1092252 1404324 1638378 1846426 2184504 2457567 2769639 2808648 3276756 3692852 4915134 5539278 6462491 6553512 7385704 8308917 9830268 11078556 12924982 16617834 19387473 19660536 22157112 24926751 25849964 33235668 38774946 49853502 51699928 58162419 66471336 77549892 99707004 116324838 155099784 174487257 199414008 232649676 348974514 465299352 697949028 1395898056