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103067712 = 26321116267
BaseRepresentation
bin1100010010010…
…11000001000000
321011221101022200
412021023001000
5202341131322
614121033200
72361026646
oct611130100
9234841280
10103067712
11531a7330
122a625800
1318478c17
14d98d196
1590ad8ac
hex624b040

103067712 has 84 divisors (see below), whose sum is σ = 322301616. Its totient is φ = 31230720.

The previous prime is 103067693. The next prime is 103067729. The reversal of 103067712 is 217760301.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1798 + ... + 14469.

It is an arithmetic number, because the mean of its divisors is an integer number (3836924).

Almost surely, 2103067712 is an apocalyptic number.

103067712 is a gapful number since it is divisible by the number (12) 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 103067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161150808).

103067712 is an abundant number, since it is smaller than the sum of its proper divisors (219233904).

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

103067712 is a wasteful number, since it uses less digits than its factorization.

103067712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16296 (or 16283 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 103067712 is about 10152.2269478179. The cubic root of 103067712 is about 468.8575117661.

The spelling of 103067712 in words is "one hundred three million, sixty-seven thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 64 66 72 88 96 99 132 144 176 192 198 264 288 352 396 528 576 704 792 1056 1584 2112 3168 6336 16267 32534 48801 65068 97602 130136 146403 178937 195204 260272 292806 357874 390408 520544 536811 585612 715748 780816 1041088 1073622 1171224 1431496 1561632 1610433 2147244 2342448 2862992 3123264 3220866 4294488 4684896 5725984 6441732 8588976 9369792 11451968 12883464 17177952 25766928 34355904 51533856 103067712