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2900040 = 233511133
BaseRepresentation
bin1011000100000001001000
312110100002220
423010001020
51220300130
6142054040
733435633
oct13040110
95410086
102900040
111700930
12b7a320
137a7000
14556c1a
153c4410
hex2c4048

2900040 has 128 divisors (see below), whose sum is σ = 10281600. Its totient is φ = 648960.

The previous prime is 2900039. The next prime is 2900057. The reversal of 2900040 is 400092.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a junction number, because it is equal to n+sod(n) for n = 2899992 and 2900019.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223074 + ... + 223086.

It is an arithmetic number, because the mean of its divisors is an integer number (80325).

22900040 is an apocalyptic number.

2900040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2900040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5140800).

2900040 is an abundant number, since it is smaller than the sum of its proper divisors (7381560).

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

2900040 is a wasteful number, since it uses less digits than its factorization.

2900040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64 (or 34 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 2900040 is about 1702.9503809565. The cubic root of 2900040 is about 142.6049703632.

The spelling of 2900040 in words is "two million, nine hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 13 15 20 22 24 26 30 33 39 40 44 52 55 60 65 66 78 88 104 110 120 130 132 143 156 165 169 195 220 260 264 286 312 330 338 390 429 440 507 520 572 660 676 715 780 845 858 1014 1144 1320 1352 1430 1560 1690 1716 1859 2028 2145 2197 2535 2860 3380 3432 3718 4056 4290 4394 5070 5577 5720 6591 6760 7436 8580 8788 9295 10140 10985 11154 13182 14872 17160 17576 18590 20280 21970 22308 24167 26364 27885 32955 37180 43940 44616 48334 52728 55770 65910 72501 74360 87880 96668 111540 120835 131820 145002 193336 223080 241670 263640 290004 362505 483340 580008 725010 966680 1450020 2900040