Search a number
-
+
1398061056 = 2113732507
BaseRepresentation
bin101001101010100…
…1011100000000000
310121102200212020010
41103111023200000
510330400423211
6350421144520
746434215520
oct12325134000
93542625203
101398061056
11658194a67
1233025b140
13193850082
14d3969680
1582b104a6
hex5354b800

1398061056 has 96 divisors (see below), whose sum is σ = 4259848320. Its totient is φ = 399433728.

The previous prime is 1398061051. The next prime is 1398061073. The reversal of 1398061056 is 6501608931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398061051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 26755 + ... + 59261.

It is an arithmetic number, because the mean of its divisors is an integer number (44373420).

Almost surely, 21398061056 is an apocalyptic number.

1398061056 is a gapful number since it is divisible by the number (16) 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 1398061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2129924160).

1398061056 is an abundant number, since it is smaller than the sum of its proper divisors (2861787264).

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

1398061056 is an equidigital number, since it uses as much as digits as its factorization.

1398061056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32539 (or 32519 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 1398061056 is about 37390.6546612920. The cubic root of 1398061056 is about 1118.1722569995.

Adding to 1398061056 its reverse (6501608931), we get a palindrome (7899669987).

The spelling of 1398061056 in words is "one billion, three hundred ninety-eight million, sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 672 768 896 1024 1344 1536 1792 2048 2688 3072 3584 5376 6144 7168 10752 14336 21504 32507 43008 65014 97521 130028 195042 227549 260056 390084 455098 520112 682647 780168 910196 1040224 1365294 1560336 1820392 2080448 2730588 3120672 3640784 4160896 5461176 6241344 7281568 8321792 10922352 12482688 14563136 16643584 21844704 24965376 29126272 33287168 43689408 49930752 58252544 66574336 87378816 99861504 116505088 174757632 199723008 233010176 349515264 466020352 699030528 1398061056