Search a number
-
+
103903056 = 243229139179
BaseRepresentation
bin1100011000101…
…10111101010000
321020111211012100
412030112331100
5203044344211
614151000400
72401106235
oct614267520
9236454170
10103903056
11537179a4
122a969100
13186ac1ca
14db2978c
1591c6156
hex6316f50

103903056 has 120 divisors (see below), whose sum is σ = 304668000. Its totient is φ = 33014016.

The previous prime is 103903049. The next prime is 103903057. The reversal of 103903056 is 650309301.

It is a super-2 number, since 2×1039030562 = 21591690092278272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103903057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 580375 + ... + 580553.

It is an arithmetic number, because the mean of its divisors is an integer number (2538900).

Almost surely, 2103903056 is an apocalyptic number.

103903056 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 103903056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152334000).

103903056 is an abundant number, since it is smaller than the sum of its proper divisors (200764944).

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

103903056 is a wasteful number, since it uses less digits than its factorization.

103903056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 361 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 27.

The square root of 103903056 is about 10193.2848483695. The cubic root of 103903056 is about 470.1207717402.

The spelling of 103903056 in words is "one hundred three million, nine hundred three thousand, fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 116 139 144 174 179 232 261 278 348 358 417 464 522 537 556 696 716 834 1044 1074 1112 1251 1392 1432 1611 1668 2088 2148 2224 2502 2864 3222 3336 4031 4176 4296 5004 5191 6444 6672 8062 8592 10008 10382 12093 12888 15573 16124 20016 20764 24186 24881 25776 31146 32248 36279 41528 46719 48372 49762 62292 64496 72558 74643 83056 93438 96744 99524 124584 145116 149286 186876 193488 199048 223929 249168 290232 298572 373752 398096 447858 580464 597144 721549 747504 895716 1194288 1443098 1791432 2164647 2886196 3582864 4329294 5772392 6493941 8658588 11544784 12987882 17317176 25975764 34634352 51951528 103903056