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109375728 = 243711101293
BaseRepresentation
bin1101000010011…
…11000011110000
321121210212021220
412201033003300
5211000010403
614504145040
72465451450
oct641170360
9247725256
10109375728
1156815670
1230768180
1319877187
1410751d60
159907953
hex684f0f0

109375728 has 160 divisors (see below), whose sum is σ = 356977152. Its totient is φ = 28032000.

The previous prime is 109375727. The next prime is 109375759. The reversal of 109375728 is 827573901.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 109375728.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (109375727) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 373150 + ... + 373442.

Almost surely, 2109375728 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 109375728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178488576).

109375728 is an abundant number, since it is smaller than the sum of its proper divisors (247601424).

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

109375728 is a wasteful number, since it uses less digits than its factorization.

109375728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423 (or 417 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 42.

The square root of 109375728 is about 10458.2851366751. The cubic root of 109375728 is about 478.2338567299.

The spelling of 109375728 in words is "one hundred nine million, three hundred seventy-five thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 101 112 132 154 168 176 202 231 264 293 303 308 336 404 462 528 586 606 616 707 808 879 924 1111 1172 1212 1232 1414 1616 1758 1848 2051 2121 2222 2344 2424 2828 3223 3333 3516 3696 4102 4242 4444 4688 4848 5656 6153 6446 6666 7032 7777 8204 8484 8888 9669 11312 12306 12892 13332 14064 15554 16408 16968 17776 19338 22561 23331 24612 25784 26664 29593 31108 32816 33936 38676 45122 46662 49224 51568 53328 59186 62216 67683 77352 88779 90244 93324 98448 118372 124432 135366 154704 177558 180488 186648 207151 236744 270732 325523 355116 360976 373296 414302 473488 541464 621453 651046 710232 828604 976569 1082928 1242906 1302092 1420464 1657208 1953138 2278661 2485812 2604184 3314416 3906276 4557322 4971624 5208368 6835983 7812552 9114644 9943248 13671966 15625104 18229288 27343932 36458576 54687864 109375728