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13842990 = 2325724373
BaseRepresentation
bin110100110011…
…101000101110
3222001022000100
4310303220232
512020433430
61212411530
7225443400
oct64635056
928038010
1013842990
1178a5497
124776ba6
132b38b25
141ba4b70
151336960
hexd33a2e

13842990 has 144 divisors (see below), whose sum is σ = 43428528. Its totient is φ = 3048192.

The previous prime is 13842979. The next prime is 13842991. The reversal of 13842990 is 9924831.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13842991) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 189594 + ... + 189666.

It is an arithmetic number, because the mean of its divisors is an integer number (301587).

Almost surely, 213842990 is an apocalyptic number.

13842990 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 13842990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21714264).

13842990 is an abundant number, since it is smaller than the sum of its proper divisors (29585538).

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

13842990 is a wasteful number, since it uses less digits than its factorization.

13842990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 13842990 is about 3720.6168843352. The cubic root of 13842990 is about 240.1098455505.

The spelling of 13842990 in words is "thirteen million, eight hundred forty-two thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 43 45 49 63 70 73 86 90 98 105 126 129 146 147 210 215 219 245 258 294 301 315 365 387 430 438 441 490 511 602 630 645 657 730 735 774 882 903 1022 1095 1290 1314 1470 1505 1533 1806 1935 2107 2190 2205 2555 2709 3010 3066 3139 3285 3577 3870 4214 4410 4515 4599 5110 5418 6278 6321 6570 7154 7665 9030 9198 9417 10535 10731 12642 13545 15330 15695 17885 18834 18963 21070 21462 21973 22995 27090 28251 31390 31605 32193 35770 37926 43946 45990 47085 53655 56502 63210 64386 65919 94170 94815 107310 109865 131838 141255 153811 160965 189630 197757 219730 282510 307622 321930 329595 395514 461433 659190 769055 922866 988785 1384299 1538110 1977570 2307165 2768598 4614330 6921495 13842990