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109910424 = 23313379521
BaseRepresentation
bin1101000110100…
…01100110011000
321122211000202110
412203101212120
5211114113144
614523432320
72503136361
oct643214630
9248730673
10109910424
1157050368
12309856a0
1319a03670
1410850b68
1599b10b9
hex68d1998

109910424 has 64 divisors (see below), whose sum is σ = 303942240. Its totient is φ = 32901120.

The previous prime is 109910413. The next prime is 109910429. The reversal of 109910424 is 424019901.

It is a junction number, because it is equal to n+sod(n) for n = 109910391 and 109910400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109910429) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6784 + ... + 16304.

Almost surely, 2109910424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 109910424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151971120).

109910424 is an abundant number, since it is smaller than the sum of its proper divisors (194031816).

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

109910424 is a wasteful number, since it uses less digits than its factorization.

109910424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9580 (or 9576 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 109910424 is about 10483.8172437333. The cubic root of 109910424 is about 479.0118909245.

It can be divided in two parts, 1099104 and 24, that multiplied together give a square (26378496 = 51362).

The spelling of 109910424 in words is "one hundred nine million, nine hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 37 39 52 74 78 104 111 148 156 222 296 312 444 481 888 962 1443 1924 2886 3848 5772 9521 11544 19042 28563 38084 57126 76168 114252 123773 228504 247546 352277 371319 495092 704554 742638 990184 1056831 1409108 1485276 2113662 2818216 2970552 4227324 4579601 8454648 9159202 13738803 18318404 27477606 36636808 54955212 109910424