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103233680 = 24511731607
BaseRepresentation
bin1100010011100…
…11100010010000
321012020210222122
412021303202100
5202411434210
614124353412
72362320554
oct611634220
9235223878
10103233680
11532aaaa0
122a6a5868
1318506624
14d9d3864
1590e2b55
hex6273890

103233680 has 80 divisors (see below), whose sum is σ = 265590144. Its totient is φ = 37002240.

The previous prime is 103233671. The next prime is 103233701. The reversal of 103233680 is 86332301.

It is a tau number, because it is divible by the number of its divisors (80).

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 15 ways as a sum of consecutive naturals, for example, 63437 + ... + 65043.

Almost surely, 2103233680 is an apocalyptic number.

103233680 is a gapful number since it is divisible by the number (10) 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 103233680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132795072).

103233680 is an abundant number, since it is smaller than the sum of its proper divisors (162356464).

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

103233680 is a wasteful number, since it uses less digits than its factorization.

103233680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1704 (or 1698 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 103233680 is about 10160.3976300143. The cubic root of 103233680 is about 469.1090409506.

Adding to 103233680 its reverse (86332301), we get a palindrome (189565981).

The spelling of 103233680 in words is "one hundred three million, two hundred thirty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 73 80 88 110 146 176 220 292 365 440 584 730 803 880 1168 1460 1606 1607 2920 3212 3214 4015 5840 6424 6428 8030 8035 12848 12856 16060 16070 17677 25712 32120 32140 35354 64240 64280 70708 88385 117311 128560 141416 176770 234622 282832 353540 469244 586555 707080 938488 1173110 1290421 1414160 1876976 2346220 2580842 4692440 5161684 6452105 9384880 10323368 12904210 20646736 25808420 51616840 103233680