Search a number
-
+
103389048 = 2334723991
BaseRepresentation
bin1100010100110…
…01011101111000
321012112201010000
412022121131320
5202431422143
614131553000
72363535540
oct612313570
9235481100
10103389048
11533a67a4
122a75b760
131855c269
14da34320
159123bd3
hex6299778

103389048 has 160 divisors (see below), whose sum is σ = 345692160. Its totient is φ = 28226880.

The previous prime is 103389043. The next prime is 103389067. The reversal of 103389048 is 840983301.

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 (103389043) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 103833 + ... + 104823.

It is an arithmetic number, because the mean of its divisors is an integer number (2160576).

Almost surely, 2103389048 is an apocalyptic number.

103389048 is a gapful number since it is divisible by the number (18) 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 103389048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172846080).

103389048 is an abundant number, since it is smaller than the sum of its proper divisors (242303112).

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

103389048 is a wasteful number, since it uses less digits than its factorization.

103389048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1039 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 103389048 is about 10168.0405191954. The cubic root of 103389048 is about 469.3442613423.

The spelling of 103389048 in words is "one hundred three million, three hundred eighty-nine thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 23 24 27 28 36 42 46 54 56 63 69 72 81 84 92 108 126 138 161 162 168 184 189 207 216 252 276 322 324 378 414 483 504 552 567 621 644 648 756 828 966 991 1134 1242 1288 1449 1512 1656 1863 1932 1982 2268 2484 2898 2973 3726 3864 3964 4347 4536 4968 5796 5946 6937 7452 7928 8694 8919 11592 11892 13041 13874 14904 17388 17838 20811 22793 23784 26082 26757 27748 34776 35676 41622 45586 52164 53514 55496 62433 68379 71352 80271 83244 91172 104328 107028 124866 136758 159551 160542 166488 182344 187299 205137 214056 249732 273516 319102 321084 374598 410274 478653 499464 547032 561897 615411 638204 642168 749196 820548 957306 1123794 1230822 1276408 1435959 1498392 1641096 1846233 1914612 2247588 2461644 2871918 3692466 3829224 4307877 4495176 4923288 5743836 7384932 8615754 11487672 12923631 14769864 17231508 25847262 34463016 51694524 103389048