Search a number
-
+
103774112 = 2513231619
BaseRepresentation
bin1100010111101…
…11011110100000
321020021021022122
412023313132200
5203031232422
614144123412
72400031301
oct613673640
9236237278
10103774112
115363a032
122a906568
1318665600
14dad47a8
15919cd42
hex62f77a0

103774112 has 72 divisors (see below), whose sum is σ = 228735360. Its totient is φ = 46275840.

The previous prime is 103774109. The next prime is 103774117. The reversal of 103774112 is 211477301.

It is a happy number.

It is a hoax number, since the sum of its digits (26) 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 (26).

It is not an unprimeable number, because it can be changed into a prime (103774117) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 167339 + ... + 167957.

It is an arithmetic number, because the mean of its divisors is an integer number (3176880).

Almost surely, 2103774112 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 103774112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114367680).

103774112 is an abundant number, since it is smaller than the sum of its proper divisors (124961248).

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

103774112 is a wasteful number, since it uses less digits than its factorization.

103774112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 665 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 26.

The square root of 103774112 is about 10186.9579364990. The cubic root of 103774112 is about 469.9262174808.

The spelling of 103774112 in words is "one hundred three million, seven hundred seventy-four thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 104 124 169 208 248 338 403 416 496 619 676 806 992 1238 1352 1612 2476 2704 3224 4952 5239 5408 6448 8047 9904 10478 12896 16094 19189 19808 20956 32188 38378 41912 64376 76756 83824 104611 128752 153512 167648 209222 249457 257504 307024 418444 498914 614048 836888 997828 1673776 1995656 3242941 3347552 3991312 6485882 7982624 12971764 25943528 51887056 103774112