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10601424 = 243283887
BaseRepresentation
bin101000011100…
…001111010000
3201221121102100
4220130033100
510203221144
61015120400
7156052641
oct50341720
921847370
1010601424
115a91009
123673100
132272542
14159d6c8
15de6269
hexa1c3d0

10601424 has 60 divisors (see below), whose sum is σ = 30060576. Its totient is φ = 3487296.

The previous prime is 10601419. The next prime is 10601441. The reversal of 10601424 is 42410601.

It is a super-2 number, since 2×106014242 = 224780381655552, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10601397 and 10601406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11509 + ... + 12395.

Almost surely, 210601424 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 10601424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15030288).

10601424 is an abundant number, since it is smaller than the sum of its proper divisors (19459152).

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

10601424 is a wasteful number, since it uses less digits than its factorization.

10601424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 984 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 10601424 is about 3255.9828009374. The cubic root of 10601424 is about 219.6787598091.

It can be divided in two parts, 10601 and 424, that added together give a square (11025 = 1052).

The spelling of 10601424 in words is "ten million, six hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 664 747 887 996 1328 1494 1774 1992 2661 2988 3548 3984 5322 5976 7096 7983 10644 11952 14192 15966 21288 31932 42576 63864 73621 127728 147242 220863 294484 441726 588968 662589 883452 1177936 1325178 1766904 2650356 3533808 5300712 10601424