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1297920 = 2935132
BaseRepresentation
bin100111100111000000000
32102221102010
410330320000
5313013140
643452520
714014011
oct4747000
92387363
101297920
11807168
12527140
13365a00
1425b008
151a9880
hex13ce00

1297920 has 120 divisors (see below), whose sum is σ = 4493016. Its totient is φ = 319488.

The previous prime is 1297873. The next prime is 1297927. The reversal of 1297920 is 297921.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1297927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99834 + ... + 99846.

21297920 is an apocalyptic number.

1297920 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 1297920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2246508).

1297920 is an abundant number, since it is smaller than the sum of its proper divisors (3195096).

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

1297920 is an equidigital number, since it uses as much as digits as its factorization.

1297920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52 (or 23 counting only the distinct ones).

The product of its (nonzero) digits is 2268, while the sum is 30.

The square root of 1297920 is about 1139.2629196107. The cubic root of 1297920 is about 109.0810496140.

Multiplying 1297920 by its sum of digits (30), we get a square (38937600 = 62402).

1297920 divided by its sum of digits (30) gives a square (43264 = 2082).

Subtracting from 1297920 its reverse (297921), we obtain a palindrome (999999).

The spelling of 1297920 in words is "one million, two hundred ninety-seven thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 64 65 78 80 96 104 120 128 130 156 160 169 192 195 208 240 256 260 312 320 338 384 390 416 480 507 512 520 624 640 676 768 780 832 845 960 1014 1040 1248 1280 1352 1536 1560 1664 1690 1920 2028 2080 2496 2535 2560 2704 3120 3328 3380 3840 4056 4160 4992 5070 5408 6240 6656 6760 7680 8112 8320 9984 10140 10816 12480 13520 16224 16640 19968 20280 21632 24960 27040 32448 33280 40560 43264 49920 54080 64896 81120 86528 99840 108160 129792 162240 216320 259584 324480 432640 648960 1297920