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13622742 = 234741293
BaseRepresentation
bin110011111101…
…110111010110
3221122002220000
4303331313112
511441411432
61203552130
7223535310
oct63756726
927562800
1013622742
117764a71
12468b646
132a8c7c3
141b487b0
1512e157c
hexcfddd6

13622742 has 80 divisors (see below), whose sum is σ = 35858592. Its totient is φ = 3784320.

The previous prime is 13622737. The next prime is 13622759. The reversal of 13622742 is 24722631.

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

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 46348 + ... + 46640.

Almost surely, 213622742 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13622742, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929296).

13622742 is an abundant number, since it is smaller than the sum of its proper divisors (22235850).

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

13622742 is a wasteful number, since it uses less digits than its factorization.

13622742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 355 (or 346 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 13622742 is about 3690.8998902707. The cubic root of 13622742 is about 238.8296142662.

The spelling of 13622742 in words is "thirteen million, six hundred twenty-two thousand, seven hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 41 42 54 63 81 82 123 126 162 189 246 287 293 369 378 567 574 586 738 861 879 1107 1134 1722 1758 2051 2214 2583 2637 3321 4102 5166 5274 6153 6642 7749 7911 12013 12306 15498 15822 18459 23247 23733 24026 36039 36918 46494 47466 55377 72078 84091 108117 110754 166131 168182 216234 252273 324351 332262 504546 648702 756819 973053 1513638 1946106 2270457 4540914 6811371 13622742