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11375316 = 22364783
BaseRepresentation
bin101011011001…
…001011010100
3210101221000000
4223121023110
510403002231
61043451300
7165455121
oct53311324
923357000
1011375316
11646a497
123986b30
132483874
141721748
15eea6e6
hexad92d4

11375316 has 84 divisors (see below), whose sum is σ = 30848832. Its totient is φ = 3666384.

The previous prime is 11375311. The next prime is 11375321. The reversal of 11375316 is 61357311.

11375316 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11375311) and next prime (11375321).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

Its product of digits (1890) is a multiple of the sum of its prime divisors (135).

It is a self number, because there is not a number n which added to its sum of digits gives 11375316.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11375311) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 137011 + ... + 137093.

It is an arithmetic number, because the mean of its divisors is an integer number (367248).

Almost surely, 211375316 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 11375316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15424416).

11375316 is an abundant number, since it is smaller than the sum of its proper divisors (19473516).

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

11375316 is an equidigital number, since it uses as much as digits as its factorization.

11375316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 135 counting only the distinct ones).

The product of its digits is 1890, while the sum is 27.

The square root of 11375316 is about 3372.7312374395. The cubic root of 11375316 is about 224.8991548079.

The spelling of 11375316 in words is "eleven million, three hundred seventy-five thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 83 94 108 141 162 166 188 243 249 282 324 332 423 486 498 564 729 747 846 972 996 1269 1458 1494 1692 2241 2538 2916 2988 3807 3901 4482 5076 6723 7614 7802 8964 11421 11703 13446 15228 15604 20169 22842 23406 26892 34263 35109 40338 45684 46812 60507 68526 70218 80676 105327 121014 137052 140436 210654 242028 315981 421308 631962 947943 1263924 1895886 2843829 3791772 5687658 11375316