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103878144 = 293222543
BaseRepresentation
bin1100011000100…
…00111000000000
321020110120000200
412030100320000
5203043100034
614150245200
72400643506
oct614207000
9236416020
10103878144
1153700207
122a956800
13186a0a76
14db20676
1591bda99
hex6310e00

103878144 has 60 divisors (see below), whose sum is σ = 299812656. Its totient is φ = 34624512.

The previous prime is 103878121. The next prime is 103878163. The reversal of 103878144 is 441878301.

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

It is a junction number, because it is equal to n+sod(n) for n = 103878099 and 103878108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 6664 + ... + 15879.

Almost surely, 2103878144 is an apocalyptic number.

It is an amenable number.

103878144 is an abundant number, since it is smaller than the sum of its proper divisors (195934512).

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

103878144 is an equidigital number, since it uses as much as digits as its factorization.

103878144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22567 (or 22548 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 103878144 is about 10192.0627941551. The cubic root of 103878144 is about 470.0831963783.

The spelling of 103878144 in words is "one hundred three million, eight hundred seventy-eight thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 22543 45086 67629 90172 135258 180344 202887 270516 360688 405774 541032 721376 811548 1082064 1442752 1623096 2164128 2885504 3246192 4328256 5771008 6492384 8656512 11542016 12984768 17313024 25969536 34626048 51939072 103878144