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13022370 = 235523233
BaseRepresentation
bin110001101011…
…010010100010
3220111121100000
4301223102202
511313203440
61143040430
7215455044
oct61532242
926447300
1013022370
117394999
124440116
13290c45a
141a2da94
151223730
hexc6b4a2

13022370 has 96 divisors (see below), whose sum is σ = 36796032. Its totient is φ = 3307392.

The previous prime is 13022369. The next prime is 13022371. The reversal of 13022370 is 7322031.

13022370 = T211 + T212 + ... + T443.

It is an interprime number because it is at equal distance from previous prime (13022369) and next prime (13022371).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13022371) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 55774 + ... + 56006.

It is an arithmetic number, because the mean of its divisors is an integer number (383292).

Almost surely, 213022370 is an apocalyptic number.

13022370 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13022370, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18398016).

13022370 is an abundant number, since it is smaller than the sum of its proper divisors (23773662).

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

13022370 is a wasteful number, since it uses less digits than its factorization.

13022370 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 13022370 is about 3608.6521029326. The cubic root of 13022370 is about 235.2682616319.

It can be divided in two parts, 130 and 22370, that added together give a square (22500 = 1502).

The spelling of 13022370 in words is "thirteen million, twenty-two thousand, three hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 23 27 30 45 46 54 69 81 90 115 135 138 162 207 230 233 243 270 345 405 414 466 486 621 690 699 810 1035 1165 1215 1242 1398 1863 2070 2097 2330 2430 3105 3495 3726 4194 5359 5589 6210 6291 6990 9315 10485 10718 11178 12582 16077 18630 18873 20970 26795 27945 31455 32154 37746 48231 53590 55890 56619 62910 80385 94365 96462 113238 144693 160770 188730 241155 283095 289386 434079 482310 566190 723465 868158 1302237 1446930 2170395 2604474 4340790 6511185 13022370