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103151424 = 2631075021
BaseRepresentation
bin1100010010111…
…11011101000000
321012002122011010
412021133131000
5202401321144
614122520520
72361526005
oct611373500
9235078133
10103151424
1153254212
122a666140
13184a805c
14d9b18ac
1590c85b9
hex625f740

103151424 has 56 divisors (see below), whose sum is σ = 275527008. Its totient is φ = 34055680.

The previous prime is 103151413. The next prime is 103151431. The reversal of 103151424 is 424151301.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 103151424.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 18034 + ... + 23054.

Almost surely, 2103151424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103151424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137763504).

103151424 is an abundant number, since it is smaller than the sum of its proper divisors (172375584).

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

103151424 is a wasteful number, since it uses less digits than its factorization.

103151424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5143 (or 5133 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 103151424 is about 10156.3489502872. The cubic root of 103151424 is about 468.9844133857.

The spelling of 103151424 in words is "one hundred three million, one hundred fifty-one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 192 214 321 428 642 856 1284 1712 2568 3424 5021 5136 6848 10042 10272 15063 20084 20544 30126 40168 60252 80336 120504 160672 241008 321344 482016 537247 964032 1074494 1611741 2148988 3223482 4297976 6446964 8595952 12893928 17191904 25787856 34383808 51575712 103151424