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109735424 = 29792713
BaseRepresentation
bin1101000101001…
…10111000000000
321122111010200222
412202212320000
5211043013144
614520002212
72501510231
oct642467000
9248433628
10109735424
1156a40937
1230900368
1319971b06
1410807088
1599792ee
hex68a6e00

109735424 has 40 divisors (see below), whose sum is σ = 222113760. Its totient is φ = 54153216.

The previous prime is 109735411. The next prime is 109735433. The reversal of 109735424 is 424537901.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 39092 + ... + 41804.

It is an arithmetic number, because the mean of its divisors is an integer number (5552844).

Almost surely, 2109735424 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 109735424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111056880).

109735424 is an abundant number, since it is smaller than the sum of its proper divisors (112378336).

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

109735424 is an frugal number, since it uses more digits than its factorization.

109735424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2794 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 35.

The square root of 109735424 is about 10475.4677222547. The cubic root of 109735424 is about 478.7575273945.

The spelling of 109735424 in words is "one hundred nine million, seven hundred thirty-five thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 32 64 79 128 158 256 316 512 632 1264 2528 2713 5056 5426 10112 10852 20224 21704 40448 43408 86816 173632 214327 347264 428654 694528 857308 1389056 1714616 3429232 6858464 13716928 27433856 54867712 109735424