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10741416 = 2337173761
BaseRepresentation
bin101000111110…
…011010101000
3202012201110020
4220332122220
510222211131
61022120440
7160205040
oct50763250
922181406
1010741416
116077204
123720120
1322c118a
1415d8720
15e22996
hexa3e6a8

10741416 has 64 divisors (see below), whose sum is σ = 32503680. Its totient is φ = 2887680.

The previous prime is 10741387. The next prime is 10741417. The reversal of 10741416 is 61414701.

10741416 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (10741417) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 976 + ... + 4736.

It is an arithmetic number, because the mean of its divisors is an integer number (507870).

Almost surely, 210741416 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 10741416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16251840).

10741416 is an abundant number, since it is smaller than the sum of its proper divisors (21762264).

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

10741416 is a wasteful number, since it uses less digits than its factorization.

10741416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3794 (or 3790 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 10741416 is about 3277.4099529964. The cubic root of 10741416 is about 220.6414885745.

The spelling of 10741416 in words is "ten million, seven hundred forty-one thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 168 204 238 357 408 476 714 952 1428 2856 3761 7522 11283 15044 22566 26327 30088 45132 52654 63937 78981 90264 105308 127874 157962 191811 210616 255748 315924 383622 447559 511496 631848 767244 895118 1342677 1534488 1790236 2685354 3580472 5370708 10741416