[go: up one dir, main page]

Search a number
-
+
10151440 = 2451343227
BaseRepresentation
bin100110101110…
…011000010000
3201002202011021
4212232120100
510044321230
61001325224
7152200015
oct46563020
921082137
1010151440
115803a22
123496814
132145790
1414c370c
15d57c7a
hex9ae610

10151440 has 80 divisors (see below), whose sum is σ = 26123328. Its totient is φ = 3644928.

The previous prime is 10151417. The next prime is 10151473. The reversal of 10151440 is 4415101.

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 (16).

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, 44607 + ... + 44833.

Almost surely, 210151440 is an apocalyptic number.

10151440 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 10151440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13061664).

10151440 is an abundant number, since it is smaller than the sum of its proper divisors (15971888).

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

10151440 is a wasteful number, since it uses less digits than its factorization.

10151440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 16.

The square root of 10151440 is about 3186.1324517352. The cubic root of 10151440 is about 216.5255833667.

Adding to 10151440 its reverse (4415101), we get a palindrome (14566541).

The spelling of 10151440 in words is "ten million, one hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 43 52 65 80 86 104 130 172 208 215 227 260 344 430 454 520 559 688 860 908 1040 1118 1135 1720 1816 2236 2270 2795 2951 3440 3632 4472 4540 5590 5902 8944 9080 9761 11180 11804 14755 18160 19522 22360 23608 29510 39044 44720 47216 48805 59020 78088 97610 118040 126893 156176 195220 236080 253786 390440 507572 634465 780880 1015144 1268930 2030288 2537860 5075720 10151440