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10897040 = 2457112961
BaseRepresentation
bin101001100100…
…011010010000
3202111121221002
4221210122100
510242201130
61025321132
7161423540
oct51443220
922447832
1010897040
116173120
1237961a8
132346c6b
141639320
15e53b45
hexa64690

10897040 has 160 divisors (see below), whose sum is σ = 33212160. Its totient is φ = 3225600.

The previous prime is 10897037. The next prime is 10897043. The reversal of 10897040 is 4079801.

It is an interprime number because it is at equal distance from previous prime (10897037) and next prime (10897043).

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a junction number, because it is equal to n+sod(n) for n = 10896994 and 10897012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10897043) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 178610 + ... + 178670.

It is an arithmetic number, because the mean of its divisors is an integer number (207576).

Almost surely, 210897040 is an apocalyptic number.

10897040 is a gapful number since it is divisible by the number (10) 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 10897040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16606080).

10897040 is an abundant number, since it is smaller than the sum of its proper divisors (22315120).

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

10897040 is a wasteful number, since it uses less digits than its factorization.

10897040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The square root of 10897040 is about 3301.0664943318. The cubic root of 10897040 is about 221.7019510292.

The spelling of 10897040 in words is "ten million, eight hundred ninety-seven thousand, forty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 29 35 40 44 55 56 58 61 70 77 80 88 110 112 116 122 140 145 154 176 203 220 232 244 280 290 305 308 319 385 406 427 440 464 488 560 580 610 616 638 671 770 812 854 880 976 1015 1160 1220 1232 1276 1342 1540 1595 1624 1708 1769 2030 2135 2233 2320 2440 2552 2684 3080 3190 3248 3355 3416 3538 4060 4270 4466 4697 4880 5104 5368 6160 6380 6710 6832 7076 8120 8540 8845 8932 9394 10736 11165 12383 12760 13420 14152 16240 17080 17690 17864 18788 19459 22330 23485 24766 25520 26840 28304 34160 35380 35728 37576 38918 44660 46970 49532 53680 61915 70760 75152 77836 89320 93940 97295 99064 123830 136213 141520 155672 178640 187880 194590 198128 247660 272426 311344 375760 389180 495320 544852 681065 778360 990640 1089704 1362130 1556720 2179408 2724260 5448520 10897040