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124679401 = 7114173541
BaseRepresentation
bin1110110111001…
…11010011101001
322200121100222121
413123213103221
5223404220101
620212151241
73042520540
oct733472351
9280540877
10124679401
1164418530
1235908521
131caa4ac2
14127b7157
15ae2c0a1
hex76e74e9

124679401 has 32 divisors (see below), whose sum is σ = 161715456. Its totient is φ = 93312000.

The previous prime is 124679393. The next prime is 124679417. The reversal of 124679401 is 104976421.

It is a 6-Lehmer number, since φ(124679401) divides (124679401-1)6.

It is a cyclic number.

It is not a de Polignac number, because 124679401 - 23 = 124679393 is a prime.

It is a super-3 number, since 3×1246794013 (a number of 25 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (34) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (124679431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 230191 + ... + 230731.

It is an arithmetic number, because the mean of its divisors is an integer number (5053608).

Almost surely, 2124679401 is an apocalyptic number.

124679401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

124679401 is a deficient number, since it is larger than the sum of its proper divisors (37036055).

124679401 is a wasteful number, since it uses less digits than its factorization.

124679401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673.

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 124679401 is about 11165.9930592850. The cubic root of 124679401 is about 499.5721686918.

The spelling of 124679401 in words is "one hundred twenty-four million, six hundred seventy-nine thousand, four hundred one".

Divisors: 1 7 11 41 73 77 287 451 511 541 803 2993 3157 3787 5621 5951 20951 22181 32923 39493 41657 155267 230461 243991 276451 434423 1619213 1707937 3040961 11334491 17811343 124679401