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103420032 = 2732937251
BaseRepresentation
bin1100010101000…
…01000010000000
321012121021121120
412022201002000
5202433420112
614132352240
72364025062
oct612410200
9235537546
10103420032
1153418001
122a775680
13185703b1
14da41732
15912ce8c
hex62a1080

103420032 has 128 divisors (see below), whose sum is σ = 293025600. Its totient is φ = 32256000.

The previous prime is 103420019. The next prime is 103420033. The reversal of 103420032 is 230024301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 103419993 and 103420020.

It is not an unprimeable number, because it can be changed into a prime (103420033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 411907 + ... + 412157.

Almost surely, 2103420032 is an apocalyptic number.

103420032 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 103420032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146512800).

103420032 is an abundant number, since it is smaller than the sum of its proper divisors (189605568).

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

103420032 is a wasteful number, since it uses less digits than its factorization.

103420032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 103420032 is about 10169.5640024536. The cubic root of 103420032 is about 469.3911415823.

Adding to 103420032 its reverse (230024301), we get a palindrome (333444333).

The spelling of 103420032 in words is "one hundred three million, four hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 37 48 58 64 74 87 96 111 116 128 148 174 192 222 232 251 296 348 384 444 464 502 592 696 753 888 928 1004 1073 1184 1392 1506 1776 1856 2008 2146 2368 2784 3012 3219 3552 3712 4016 4292 4736 5568 6024 6438 7104 7279 8032 8584 9287 11136 12048 12876 14208 14558 16064 17168 18574 21837 24096 25752 27861 29116 32128 34336 37148 43674 48192 51504 55722 58232 68672 74296 87348 96384 103008 111444 116464 137344 148592 174696 206016 222888 232928 269323 297184 349392 412032 445776 465856 538646 594368 698784 807969 891552 931712 1077292 1188736 1397568 1615938 1783104 2154584 2795136 3231876 3566208 4309168 6463752 8618336 12927504 17236672 25855008 34473344 51710016 103420032