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10148740 = 2257711021
BaseRepresentation
bin100110101101…
…101110000100
3201002121110021
4212231232010
510044224430
61001304524
7152156110
oct46555604
921077407
1010148740
115801998
123495144
132144494
1414c2740
15d5707a
hex9adb84

10148740 has 48 divisors (see below), whose sum is σ = 24724224. Its totient is φ = 3427200.

The previous prime is 10148729. The next prime is 10148741. The reversal of 10148740 is 4784101.

10148740 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10148741) 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, 9430 + ... + 10450.

It is an arithmetic number, because the mean of its divisors is an integer number (515088).

Almost surely, 210148740 is an apocalyptic number.

10148740 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 10148740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12362112).

10148740 is an abundant number, since it is smaller than the sum of its proper divisors (14575484).

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

10148740 is a wasteful number, since it uses less digits than its factorization.

10148740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1108 (or 1106 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 25.

The square root of 10148740 is about 3185.7087123590. The cubic root of 10148740 is about 216.5063850752.

It can be divided in two parts, 101 and 48740, that added together give a square (48841 = 2212).

The spelling of 10148740 in words is "ten million, one hundred forty-eight thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 710 994 1021 1420 1988 2042 2485 4084 4970 5105 7147 9940 10210 14294 20420 28588 35735 71470 72491 142940 144982 289964 362455 507437 724910 1014874 1449820 2029748 2537185 5074370 10148740