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2929290 = 2357132937
BaseRepresentation
bin1011001011001010001010
312111211020020
423023022022
51222214130
6142441310
733620130
oct13131212
95454206
102929290
111720901
12b93236
137b7410
14563750
153cce10
hex2cb28a

2929290 has 128 divisors (see below), whose sum is σ = 9192960. Its totient is φ = 580608.

The previous prime is 2929259. The next prime is 2929301. The reversal of 2929290 is 929292.

2929290 = T1 + T2 + ... + T259.

2929290 is a nontrivial binomial coefficient, being equal to C(261, 3).

It is an alternating number because its digits alternate between even and odd.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is the 259-th tetrahedral number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 79152 + ... + 79188.

It is an arithmetic number, because the mean of its divisors is an integer number (71820).

22929290 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2929290, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4596480).

2929290 is an abundant number, since it is smaller than the sum of its proper divisors (6263670).

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

2929290 is a wasteful number, since it uses less digits than its factorization.

2929290 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96.

The product of its (nonzero) digits is 5832, while the sum is 33.

The square root of 2929290 is about 1711.5168710825. The cubic root of 2929290 is about 143.0828085753.

The spelling of 2929290 in words is "two million, nine hundred twenty-nine thousand, two hundred ninety".

Divisors: 1 2 3 5 6 7 10 13 14 15 21 26 29 30 35 37 39 42 58 65 70 74 78 87 91 105 111 130 145 174 182 185 195 203 210 222 259 273 290 370 377 390 406 435 455 481 518 546 555 609 754 777 870 910 962 1015 1073 1110 1131 1218 1295 1365 1443 1554 1885 2030 2146 2262 2405 2590 2639 2730 2886 3045 3219 3367 3770 3885 4810 5278 5365 5655 6090 6438 6734 7215 7511 7770 7917 10101 10730 11310 13195 13949 14430 15022 15834 16095 16835 20202 22533 26390 27898 32190 33670 37555 39585 41847 45066 50505 69745 75110 79170 83694 97643 101010 112665 139490 195286 209235 225330 292929 418470 488215 585858 976430 1464645 2929290