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124142004 = 22337164209
BaseRepresentation
bin1110110011001…
…00000110110100
322122121001211000
413121210012310
5223240021004
620152443300
73035122020
oct731440664
9278531730
10124142004
11640907a8
12356a9530
131c94730c
14126b7380
15ad72c39
hex76641b4

124142004 has 48 divisors (see below), whose sum is σ = 367830400. Its totient is φ = 35468928.

The previous prime is 124141999. The next prime is 124142023. The reversal of 124142004 is 400241421.

124142004 is a `hidden beast` number, since 1 + 241 + 420 + 0 + 4 = 666.

It is a super-2 number, since 2×1241420042 = 30822474314272032, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 15 ways as a sum of consecutive naturals, for example, 81349 + ... + 82860.

Almost surely, 2124142004 is an apocalyptic number.

124142004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

124142004 is an abundant number, since it is smaller than the sum of its proper divisors (243688396).

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

124142004 is a wasteful number, since it uses less digits than its factorization.

124142004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164229 (or 164221 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 124142004 is about 11141.9030690453. The cubic root of 124142004 is about 498.8533778587.

Adding to 124142004 its reverse (400241421), we get a palindrome (524383425).

The spelling of 124142004 in words is "one hundred twenty-four million, one hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 756 164209 328418 492627 656836 985254 1149463 1477881 1970508 2298926 2955762 3448389 4433643 4597852 5911524 6896778 8867286 10345167 13793556 17734572 20690334 31035501 41380668 62071002 124142004