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21490040 = 23511132172
BaseRepresentation
bin101000111111…
…0100101111000
31111102210210102
41101332211320
521000140130
62044334532
7350443115
oct121764570
944383712
1021490040
1111148870
127244448
1345b5700
142bd590c
151d47645
hex147e978

21490040 has 144 divisors (see below), whose sum is σ = 60675480. Its totient is φ = 6789120.

The previous prime is 21490033. The next prime is 21490043. The reversal of 21490040 is 4009412.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 21489994 and 21490021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21490043) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1264112 + ... + 1264128.

Almost surely, 221490040 is an apocalyptic number.

21490040 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 21490040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30337740).

21490040 is an abundant number, since it is smaller than the sum of its proper divisors (39185440).

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

21490040 is a wasteful number, since it uses less digits than its factorization.

21490040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The square root of 21490040 is about 4635.7351089121. The cubic root of 21490040 is about 278.0219433018.

Adding to 21490040 its reverse (4009412), we get a palindrome (25499452).

The spelling of 21490040 in words is "twenty-one million, four hundred ninety thousand, forty".

Divisors: 1 2 4 5 8 10 11 13 17 20 22 26 34 40 44 52 55 65 68 85 88 104 110 130 136 143 169 170 187 220 221 260 286 289 338 340 374 440 442 520 572 578 676 680 715 748 845 884 935 1105 1144 1156 1352 1430 1445 1496 1690 1768 1859 1870 2210 2312 2431 2860 2873 2890 3179 3380 3718 3740 3757 4420 4862 5720 5746 5780 6358 6760 7436 7480 7514 8840 9295 9724 11492 11560 12155 12716 14365 14872 15028 15895 18590 18785 19448 22984 24310 25432 28730 30056 31603 31790 37180 37570 41327 48620 48841 57460 63206 63580 74360 75140 82654 97240 97682 114920 126412 127160 150280 158015 165308 195364 206635 244205 252824 316030 330616 390728 413270 488410 537251 632060 826540 976820 1074502 1264120 1653080 1953640 2149004 2686255 4298008 5372510 10745020 21490040