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10427157 = 331361487
BaseRepresentation
bin100111110001…
…101100010101
3201121202101000
4213301230111
510132132112
61011253513
7154425606
oct47615425
921552330
1010427157
115982094
1235aa299
132211120
141555dad
15dae7dc
hex9f1b15

10427157 has 32 divisors (see below), whose sum is σ = 16943360. Its totient is φ = 6298560.

The previous prime is 10427149. The next prime is 10427159. The reversal of 10427157 is 75172401.

It is not a de Polignac number, because 10427157 - 23 = 10427149 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10427157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10427159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21168 + ... + 21654.

It is an arithmetic number, because the mean of its divisors is an integer number (529480).

Almost surely, 210427157 is an apocalyptic number.

It is an amenable number.

10427157 is a deficient number, since it is larger than the sum of its proper divisors (6516203).

10427157 is a wasteful number, since it uses less digits than its factorization.

10427157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570 (or 564 counting only the distinct ones).

The product of its (nonzero) digits is 1960, while the sum is 27.

The square root of 10427157 is about 3229.1108683351. The cubic root of 10427157 is about 218.4684047894.

Adding to 10427157 its reverse (75172401), we get a palindrome (85599558).

It can be divided in two parts, 104 and 27157, that added together give a triangular number (27261 = T233).

The spelling of 10427157 in words is "ten million, four hundred twenty-seven thousand, one hundred fifty-seven".

Divisors: 1 3 9 13 27 39 61 117 183 351 487 549 793 1461 1647 2379 4383 6331 7137 13149 18993 21411 29707 56979 89121 170937 267363 386191 802089 1158573 3475719 10427157