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103422672 = 24321395167
BaseRepresentation
bin1100010101000…
…01101011010000
321012121102020100
412022201223100
5202434011142
614132412400
72364035553
oct612415320
9235542210
10103422672
1153419a91
122a777100
1318571662
14da4269a
15912db4c
hex62a1ad0

103422672 has 60 divisors (see below), whose sum is σ = 291578560. Its totient is φ = 34219584.

The previous prime is 103422667. The next prime is 103422689. The reversal of 103422672 is 276224301.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17433 + ... + 22599.

Almost surely, 2103422672 is an apocalyptic number.

103422672 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 103422672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145789280).

103422672 is an abundant number, since it is smaller than the sum of its proper divisors (188155888).

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

103422672 is a wasteful number, since it uses less digits than its factorization.

103422672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5320 (or 5311 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 103422672 is about 10169.6938007002. The cubic root of 103422672 is about 469.3951355928.

Adding to 103422672 its reverse (276224301), we get a palindrome (379646973).

The spelling of 103422672 in words is "one hundred three million, four hundred twenty-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 139 144 278 417 556 834 1112 1251 1668 2224 2502 3336 5004 5167 6672 10008 10334 15501 20016 20668 31002 41336 46503 62004 82672 93006 124008 186012 248016 372024 718213 744048 1436426 2154639 2872852 4309278 5745704 6463917 8618556 11491408 12927834 17237112 25855668 34474224 51711336 103422672