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10673316 = 2233372671
BaseRepresentation
bin101000101101…
…110010100100
3202002021001000
4220231302210
510213021231
61020433300
7156502353
oct50556244
922067030
1010673316
116030025
1236a8830
132299194
1415bb99a
15e0c6e6
hexa2dca4

10673316 has 48 divisors (see below), whose sum is σ = 28430080. Its totient is φ = 3460320.

The previous prime is 10673309. The next prime is 10673323. The reversal of 10673316 is 61337601.

It is an interprime number because it is at equal distance from previous prime (10673309) and next prime (10673323).

It is a super-2 number, since 2×106733162 = 227839348871712, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10673316.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2661 + ... + 5331.

Almost surely, 210673316 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 10673316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14215040).

10673316 is an abundant number, since it is smaller than the sum of its proper divisors (17756764).

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

10673316 is a wasteful number, since it uses less digits than its factorization.

10673316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2721 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 27.

The square root of 10673316 is about 3267.0041322288. The cubic root of 10673316 is about 220.1742146228.

Subtracting from 10673316 its sum of digits (27), we obtain a square (10673289 = 32672).

The spelling of 10673316 in words is "ten million, six hundred seventy-three thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 333 444 666 999 1332 1998 2671 3996 5342 8013 10684 16026 24039 32052 48078 72117 96156 98827 144234 197654 288468 296481 395308 592962 889443 1185924 1778886 2668329 3557772 5336658 10673316