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103475712 = 2932329101
BaseRepresentation
bin1100010101011…
…10101000000000
321012201002222210
412022232220000
5202442210322
614133502120
72364346314
oct612565000
9235632883
10103475712
115345591a
122a7a1940
131858c842
14da57b44
15913e70c
hex62aea00

103475712 has 160 divisors (see below), whose sum is σ = 300516480. Its totient is φ = 31539200.

The previous prime is 103475707. The next prime is 103475777. The reversal of 103475712 is 217574301.

It is a super-3 number, since 3×1034757123 (a number of 25 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 103475712.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1024462 + ... + 1024562.

It is an arithmetic number, because the mean of its divisors is an integer number (1878228).

Almost surely, 2103475712 is an apocalyptic number.

103475712 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 103475712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150258240).

103475712 is an abundant number, since it is smaller than the sum of its proper divisors (197040768).

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

103475712 is a wasteful number, since it uses less digits than its factorization.

103475712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 158 counting only the distinct ones).

The product of its (nonzero) digits is 5880, while the sum is 30.

The square root of 103475712 is about 10172.3012145728. The cubic root of 103475712 is about 469.4753644977.

The spelling of 103475712 in words is "one hundred three million, four hundred seventy-five thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 23 24 29 32 46 48 58 64 69 87 92 96 101 116 128 138 174 184 192 202 232 256 276 303 348 368 384 404 464 512 552 606 667 696 736 768 808 928 1104 1212 1334 1392 1472 1536 1616 1856 2001 2208 2323 2424 2668 2784 2929 2944 3232 3712 4002 4416 4646 4848 5336 5568 5858 5888 6464 6969 7424 8004 8787 8832 9292 9696 10672 11136 11716 11776 12928 13938 14848 16008 17574 17664 18584 19392 21344 22272 23432 25856 27876 32016 35148 35328 37168 38784 42688 44544 46864 51712 55752 64032 67367 70296 74336 77568 85376 93728 111504 128064 134734 140592 148672 155136 170752 187456 202101 223008 256128 269468 281184 297344 341504 374912 404202 446016 512256 538936 562368 594688 749824 808404 892032 1024512 1077872 1124736 1189376 1499648 1616808 1784064 2155744 2249472 3233616 3568128 4311488 4498944 6467232 8622976 12934464 17245952 25868928 34491904 51737856 103475712