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109960240 = 24513234597
BaseRepresentation
bin1101000110111…
…01110000110000
321122220120002111
412203131300300
5211122211430
614524455104
72503434535
oct643356060
9248816074
10109960240
1157084835
12309aa494
1319a20240
1410864d8c
1599c0c2a
hex68ddc30

109960240 has 80 divisors (see below), whose sum is σ = 287356608. Its totient is φ = 38827008.

The previous prime is 109960231. The next prime is 109960241. The reversal of 109960240 is 42069901.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (109960241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21622 + ... + 26218.

Almost surely, 2109960240 is an apocalyptic number.

109960240 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 109960240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143678304).

109960240 is an abundant number, since it is smaller than the sum of its proper divisors (177396368).

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

109960240 is a wasteful number, since it uses less digits than its factorization.

109960240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4646 (or 4640 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 109960240 is about 10486.1928267603. The cubic root of 109960240 is about 479.0842493998.

The spelling of 109960240 in words is "one hundred nine million, nine hundred sixty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 40 46 52 65 80 92 104 115 130 184 208 230 260 299 368 460 520 598 920 1040 1196 1495 1840 2392 2990 4597 4784 5980 9194 11960 18388 22985 23920 36776 45970 59761 73552 91940 105731 119522 183880 211462 239044 298805 367760 422924 478088 528655 597610 845848 956176 1057310 1195220 1374503 1691696 2114620 2390440 2749006 4229240 4780880 5498012 6872515 8458480 10996024 13745030 21992048 27490060 54980120 109960240