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10097370 = 2325151743
BaseRepresentation
bin100110100001…
…001011011010
3200222222222200
4212201023122
510041103440
61000231030
7151553253
oct46411332
920888880
1010097370
115777338
12346b476
132126c9a
1414abb2a
15d46c30
hex9a12da

10097370 has 48 divisors (see below), whose sum is σ = 26462592. Its totient is φ = 2671200.

The previous prime is 10097363. The next prime is 10097383. The reversal of 10097370 is 7379001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13219 + ... + 13961.

It is an arithmetic number, because the mean of its divisors is an integer number (551304).

Almost surely, 210097370 is an apocalyptic number.

10097370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10097370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13231296).

10097370 is an abundant number, since it is smaller than the sum of its proper divisors (16365222).

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

10097370 is a wasteful number, since it uses less digits than its factorization.

10097370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 904 counting only the distinct ones).

The product of its (nonzero) digits is 1323, while the sum is 27.

The square root of 10097370 is about 3177.6359136943. The cubic root of 10097370 is about 216.1404693296.

The spelling of 10097370 in words is "ten million, ninety-seven thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 151 302 453 743 755 906 1359 1486 1510 2229 2265 2718 3715 4458 4530 6687 6795 7430 11145 13374 13590 22290 33435 66870 112193 224386 336579 560965 673158 1009737 1121930 1682895 2019474 3365790 5048685 10097370