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10741464 = 23332232
BaseRepresentation
bin101000111110…
…011011011000
3202012201112000
4220332123120
510222211324
61022121000
7160205136
oct50763330
922181460
1010741464
116077248
123720160
1322c11c6
1415d8756
15e229c9
hexa3e6d8

10741464 has 48 divisors (see below), whose sum is σ = 29971800. Its totient is φ = 3564432.

The previous prime is 10741463. The next prime is 10741487. The reversal of 10741464 is 46414701.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10741463) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 48057 + ... + 48279.

Almost surely, 210741464 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 10741464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14985900).

10741464 is an abundant number, since it is smaller than the sum of its proper divisors (19230336).

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

10741464 is an equidigital number, since it uses as much as digits as its factorization.

10741464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 461 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 10741464 is about 3277.4172758439. The cubic root of 10741464 is about 220.6418172330.

The spelling of 10741464 in words is "ten million, seven hundred forty-one thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 223 446 669 892 1338 1784 2007 2676 4014 5352 6021 8028 12042 16056 24084 48168 49729 99458 149187 198916 298374 397832 447561 596748 895122 1193496 1342683 1790244 2685366 3580488 5370732 10741464