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29028390 = 23519127401
BaseRepresentation
bin110111010111…
…1000000100110
32000121210110120
41232233000212
524412402030
62514102410
7501510606
oct156570046
960553416
1029028390
1115427506
12987aa06
136024981
143bd8c06
152836010
hex1baf026

29028390 has 64 divisors (see below), whose sum is σ = 74096640. Its totient is φ = 7257600.

The previous prime is 29028379. The next prime is 29028479. The reversal of 29028390 is 9382092.

29028390 is a nontrivial binomial coefficient, being equal to C(7620, 2).

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 72190 + ... + 72590.

It is an arithmetic number, because the mean of its divisors is an integer number (1157760).

Almost surely, 229028390 is an apocalyptic number.

29028390 is the 7619-th triangular number and also the 3810-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 29028390, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37048320).

29028390 is an abundant number, since it is smaller than the sum of its proper divisors (45068250).

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

29028390 is a wasteful number, since it uses less digits than its factorization.

29028390 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 557.

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 29028390 is about 5387.8001076506. The cubic root of 29028390 is about 307.3319062782.

It can be divided in two parts, 290 and 28390, that added together give a triangular number (28680 = T239).

The spelling of 29028390 in words is "twenty-nine million, twenty-eight thousand, three hundred ninety".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 127 190 254 285 381 401 570 635 762 802 1203 1270 1905 2005 2406 2413 3810 4010 4826 6015 7239 7619 12030 12065 14478 15238 22857 24130 36195 38095 45714 50927 72390 76190 101854 114285 152781 228570 254635 305562 509270 763905 967613 1527810 1935226 2902839 4838065 5805678 9676130 14514195 29028390