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103778664 = 23311537417
BaseRepresentation
bin1100010111110…
…00100101101000
321020021111120020
412023320211220
5203031404124
614144200440
72400050463
oct613704550
9236244506
10103778664
11536424a0
122a909120
13186676c2
14dad62da
15919e379
hex62f8968

103778664 has 64 divisors (see below), whose sum is σ = 288411840. Its totient is φ = 30850560.

The previous prime is 103778663. The next prime is 103778681. The reversal of 103778664 is 466877301.

It is a super-2 number, since 2×1037786642 = 21540022203249792, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (103778663) 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 15 ways as a sum of consecutive naturals, for example, 10284 + ... + 17700.

It is an arithmetic number, because the mean of its divisors is an integer number (4506435).

Almost surely, 2103778664 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 103778664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144205920).

103778664 is an abundant number, since it is smaller than the sum of its proper divisors (184633176).

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

103778664 is a wasteful number, since it uses less digits than its factorization.

103778664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7490 (or 7486 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 42.

The square root of 103778664 is about 10187.1813569800. The cubic root of 103778664 is about 469.9330884073.

The spelling of 103778664 in words is "one hundred three million, seven hundred seventy-eight thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 53 66 88 106 132 159 212 264 318 424 583 636 1166 1272 1749 2332 3498 4664 6996 7417 13992 14834 22251 29668 44502 59336 81587 89004 163174 178008 244761 326348 393101 489522 652696 786202 979044 1179303 1572404 1958088 2358606 3144808 4324111 4717212 8648222 9434424 12972333 17296444 25944666 34592888 51889332 103778664