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10797000 = 233535961
BaseRepresentation
bin101001001011…
…111111001000
3202022112200220
4221023333020
510231001000
61023230040
7160526064
oct51137710
922275626
1010797000
116104a45
123748320
132310576
141610aa4
15e341a0
hexa4bfc8

10797000 has 128 divisors (see below), whose sum is σ = 34819200. Its totient is φ = 2784000.

The previous prime is 10796977. The next prime is 10797011. The reversal of 10797000 is 79701.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 176970 + ... + 177030.

It is an arithmetic number, because the mean of its divisors is an integer number (272025).

Almost surely, 210797000 is an apocalyptic number.

10797000 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 10797000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409600).

10797000 is an abundant number, since it is smaller than the sum of its proper divisors (24022200).

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

10797000 is a wasteful number, since it uses less digits than its factorization.

10797000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 441, while the sum is 24.

The square root of 10797000 is about 3285.8788778651. The cubic root of 10797000 is about 221.0214211814.

The spelling of 10797000 in words is "ten million, seven hundred ninety-seven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 61 75 100 118 120 122 125 150 177 183 200 236 244 250 295 300 305 354 366 375 472 488 500 590 600 610 708 732 750 885 915 1000 1180 1220 1416 1464 1475 1500 1525 1770 1830 2360 2440 2950 3000 3050 3540 3599 3660 4425 4575 5900 6100 7080 7198 7320 7375 7625 8850 9150 10797 11800 12200 14396 14750 15250 17700 17995 18300 21594 22125 22875 28792 29500 30500 35400 35990 36600 43188 44250 45750 53985 59000 61000 71980 86376 88500 89975 91500 107970 143960 177000 179950 183000 215940 269925 359900 431880 449875 539850 719800 899750 1079700 1349625 1799500 2159400 2699250 3599000 5398500 10797000