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10193640 = 233584947
BaseRepresentation
bin100110111000…
…101011101000
3201011220001020
4212320223220
510102144030
61002252440
7152434032
oct46705350
921156036
1010193640
1158326a6
1234b7120
13215ba52
1414d4c52
15d65510
hex9b8ae8

10193640 has 32 divisors (see below), whose sum is σ = 30581280. Its totient is φ = 2718272.

The previous prime is 10193639. The next prime is 10193641. The reversal of 10193640 is 4639101.

10193640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10193639) and next prime (10193641).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nialpdrome in base 15.

It is a self number, because there is not a number n which added to its sum of digits gives 10193640.

It is not an unprimeable number, because it can be changed into a prime (10193641) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42354 + ... + 42593.

It is an arithmetic number, because the mean of its divisors is an integer number (955665).

Almost surely, 210193640 is an apocalyptic number.

10193640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10193640 is an abundant number, since it is smaller than the sum of its proper divisors (20387640).

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

10193640 is a wasteful number, since it uses less digits than its factorization.

10193640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84961 (or 84957 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 24.

The square root of 10193640 is about 3192.7480326515. The cubic root of 10193640 is about 216.8252041521.

The spelling of 10193640 in words is "ten million, one hundred ninety-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 84947 169894 254841 339788 424735 509682 679576 849470 1019364 1274205 1698940 2038728 2548410 3397880 5096820 10193640