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103466664 = 23327297079
BaseRepresentation
bin1100010101011…
…00011010101000
321012200122120200
412022230122220
5202441413124
614133352200
72364311040
oct612543250
9235618520
10103466664
115344a044
122a798660
13185886a2
14da54720
15913bbc9
hex62ac6a8

103466664 has 96 divisors (see below), whose sum is σ = 331344000. Its totient is φ = 28538496.

The previous prime is 103466663. The next prime is 103466669. The reversal of 103466664 is 466664301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103466663) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11077 + ... + 18155.

It is an arithmetic number, because the mean of its divisors is an integer number (3451500).

Almost surely, 2103466664 is an apocalyptic number.

103466664 is a gapful number since it is divisible by the number (14) 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 103466664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165672000).

103466664 is an abundant number, since it is smaller than the sum of its proper divisors (227877336).

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

103466664 is a wasteful number, since it uses less digits than its factorization.

103466664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7127 (or 7120 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 103466664 is about 10171.8564677251. The cubic root of 103466664 is about 469.4616803302.

The spelling of 103466664 in words is "one hundred three million, four hundred sixty-six thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 29 36 42 56 58 63 72 84 87 116 126 168 174 203 232 252 261 348 406 504 522 609 696 812 1044 1218 1624 1827 2088 2436 3654 4872 7079 7308 14158 14616 21237 28316 42474 49553 56632 63711 84948 99106 127422 148659 169896 198212 205291 254844 297318 396424 410582 445977 509688 594636 615873 821164 891954 1189272 1231746 1437037 1642328 1783908 1847619 2463492 2874074 3567816 3695238 4311111 4926984 5748148 7390476 8622222 11496296 12933333 14780952 17244444 25866666 34488888 51733332 103466664