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10707424 = 257133677
BaseRepresentation
bin101000110110…
…000111100000
3202010222211021
4220312013200
510220114144
61021255224
7160003660
oct50660740
922128737
1010707424
116053712
123704514
1322ab870
1415ca1a0
15e17884
hexa361e0

10707424 has 48 divisors (see below), whose sum is σ = 25951968. Its totient is φ = 4234752.

The previous prime is 10707413. The next prime is 10707427. The reversal of 10707424 is 42470701.

It is a super-2 number, since 2×107074242 = 229297857431552, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10707427) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1074 + ... + 4750.

It is an arithmetic number, because the mean of its divisors is an integer number (540666).

Almost surely, 210707424 is an apocalyptic number.

10707424 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10707424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12975984).

10707424 is an abundant number, since it is smaller than the sum of its proper divisors (15244544).

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

10707424 is a wasteful number, since it uses less digits than its factorization.

10707424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707 (or 3699 counting only the distinct ones).

The product of its (nonzero) digits is 1568, while the sum is 25.

The square root of 10707424 is about 3272.2200415009. The cubic root of 10707424 is about 220.4084972289.

The spelling of 10707424 in words is "ten million, seven hundred seven thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 1456 2912 3677 7354 14708 25739 29416 47801 51478 58832 95602 102956 117664 191204 205912 334607 382408 411824 669214 764816 823648 1338428 1529632 2676856 5353712 10707424