Search a number
-
+
10755719120 = 2451719416243
BaseRepresentation
bin10100000010001011…
…10011111111010000
31000202120210010212102
422001011303333100
5134011431002440
64535140215532
7530352050456
oct120105637720
930676703772
1010755719120
11461a360a73
12210209a5a8
131025438153
147406829d6
1542e3d9b15
hex281173fd0

10755719120 has 80 divisors (see below), whose sum is σ = 27871698240. Its totient is φ = 3836086272.

The previous prime is 10755719099. The next prime is 10755719179. The reversal of 10755719120 is 2191755701.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 182282 + ... + 233961.

It is an arithmetic number, because the mean of its divisors is an integer number (348396228).

Almost surely, 210755719120 is an apocalyptic number.

10755719120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10755719120 is an abundant number, since it is smaller than the sum of its proper divisors (17115979120).

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

10755719120 is a wasteful number, since it uses less digits than its factorization.

10755719120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416292 (or 416286 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 38.

The spelling of 10755719120 in words is "ten billion, seven hundred fifty-five million, seven hundred nineteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 17 19 20 34 38 40 68 76 80 85 95 136 152 170 190 272 304 323 340 380 646 680 760 1292 1360 1520 1615 2584 3230 5168 6460 12920 25840 416243 832486 1664972 2081215 3329944 4162430 6659888 7076131 7908617 8324860 14152262 15817234 16649720 28304524 31634468 33299440 35380655 39543085 56609048 63268936 70761310 79086170 113218096 126537872 134446489 141522620 158172340 268892978 283045240 316344680 537785956 566090480 632689360 672232445 1075571912 1344464890 2151143824 2688929780 5377859560 10755719120