Search a number
-
+
10092375120 = 2435369111393
BaseRepresentation
bin10010110011000110…
…10110110001010000
3222001100120202222010
421121203112301100
5131132122000440
64345242342520
7505045526112
oct113143266120
928040522863
1010092375120
114309978893
121b57abaa40
13c4ab914c9
146ba52b3b2
153e1058580
hex2598d6c50

10092375120 has 80 divisors (see below), whose sum is σ = 31297586112. Its totient is φ = 2690334720.

The previous prime is 10092375119. The next prime is 10092375121. The reversal of 10092375120 is 2157329001.

It is an interprime number because it is at equal distance from previous prime (10092375119) and next prime (10092375121).

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 (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10092375121) 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, 880144 + ... + 891536.

Almost surely, 210092375120 is an apocalyptic number.

10092375120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10092375120 is an abundant number, since it is smaller than the sum of its proper divisors (21205210992).

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

10092375120 is a wasteful number, since it uses less digits than its factorization.

10092375120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15100 (or 15094 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 30.

The spelling of 10092375120 in words is "ten billion, ninety-two million, three hundred seventy-five thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 3691 7382 11073 11393 14764 18455 22146 22786 29528 34179 36910 44292 45572 55365 56965 59056 68358 73820 88584 91144 110730 113930 136716 147640 170895 177168 182288 221460 227860 273432 295280 341790 442920 455720 546864 683580 885840 911440 1367160 2734320 42051563 84103126 126154689 168206252 210257815 252309378 336412504 420515630 504618756 630773445 672825008 841031260 1009237512 1261546890 1682062520 2018475024 2523093780 3364125040 5046187560 10092375120