Search a number
-
+
103244176 = 24721929239
BaseRepresentation
bin1100010011101…
…10000110010000
321012021100101101
412021312012100
5202412303201
614124514144
72362363300
oct611660620
9235240341
10103244176
1153307972
122a6ab954
131850b339
14d9d7600
1590e5d01
hex6276190

103244176 has 120 divisors (see below), whose sum is σ = 254448000. Its totient is φ = 40303872.

The previous prime is 103244149. The next prime is 103244189. The reversal of 103244176 is 671442301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 431865 + ... + 432103.

It is an arithmetic number, because the mean of its divisors is an integer number (2120400).

Almost surely, 2103244176 is an apocalyptic number.

103244176 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 103244176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127224000).

103244176 is an abundant number, since it is smaller than the sum of its proper divisors (151203824).

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

103244176 is a wasteful number, since it uses less digits than its factorization.

103244176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 309 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 28.

The square root of 103244176 is about 10160.9141321045. The cubic root of 103244176 is about 469.1249388682.

Adding to 103244176 its reverse (671442301), we get a palindrome (774686477).

The spelling of 103244176 in words is "one hundred three million, two hundred forty-four thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 19 28 29 38 49 56 58 76 98 112 116 133 152 196 203 232 239 266 304 392 406 464 478 532 551 784 812 931 956 1064 1102 1421 1624 1673 1862 1912 2128 2204 2842 3248 3346 3724 3824 3857 4408 4541 5684 6692 6931 7448 7714 8816 9082 11368 11711 13384 13862 14896 15428 18164 22736 23422 26768 26999 27724 30856 31787 36328 46844 48517 53998 55448 61712 63574 72656 93688 97034 107996 110896 127148 131689 187376 194068 215992 222509 254296 263378 339619 388136 431984 445018 508592 526756 679238 776272 890036 921823 1053512 1358476 1780072 1843646 2107024 2716952 3560144 3687292 5433904 6452761 7374584 12905522 14749168 25811044 51622088 103244176