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11429910 = 2345103137
BaseRepresentation
bin101011100110…
…100000010110
3210111200220000
4223212200112
510411224120
61044552130
7166103232
oct53464026
923450800
1011429910
1164a7508
1239b2646
1324a267b
1417375c2
15100b990
hexae6816

11429910 has 80 divisors (see below), whose sum is σ = 31258656. Its totient is φ = 2996352.

The previous prime is 11429909. The next prime is 11429911. The reversal of 11429910 is 1992411.

It is an interprime number because it is at equal distance from previous prime (11429909) and next prime (11429911).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11429911) 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 39 ways as a sum of consecutive naturals, for example, 83362 + ... + 83498.

Almost surely, 211429910 is an apocalyptic number.

11429910 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 11429910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15629328).

11429910 is an abundant number, since it is smaller than the sum of its proper divisors (19828746).

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

11429910 is a wasteful number, since it uses less digits than its factorization.

11429910 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 27.

The square root of 11429910 is about 3380.8149905016. The cubic root of 11429910 is about 225.2583698643.

The spelling of 11429910 in words is "eleven million, four hundred twenty-nine thousand, nine hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 103 135 137 162 206 270 274 309 405 411 515 618 685 810 822 927 1030 1233 1370 1545 1854 2055 2466 2781 3090 3699 4110 4635 5562 6165 7398 8343 9270 11097 12330 13905 14111 16686 18495 22194 27810 28222 36990 41715 42333 55485 70555 83430 84666 110970 126999 141110 211665 253998 380997 423330 634995 761994 1142991 1269990 1904985 2285982 3809970 5714955 11429910