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1969968 = 2437111341
BaseRepresentation
bin111100000111100110000
310201002021210
413200330300
51001014333
6110120120
722513230
oct7407460
93632253
101969968
111126080
127b0040
1353c880
14393cc0
1528da63
hex1e0f30

1969968 has 160 divisors (see below), whose sum is σ = 6999552. Its totient is φ = 460800.

The previous prime is 1969967. The next prime is 1969969. The reversal of 1969968 is 8699691.

It is an interprime number because it is at equal distance from previous prime (1969967) and next prime (1969969).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a zygodrome in base 2.

It is not an unprimeable number, because it can be changed into a prime (1969967) 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, 48028 + ... + 48068.

21969968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1969968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3499776).

1969968 is an abundant number, since it is smaller than the sum of its proper divisors (5029584).

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

1969968 is a wasteful number, since it uses less digits than its factorization.

1969968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 77 counting only the distinct ones).

The product of its digits is 209952, while the sum is 48.

The square root of 1969968 is about 1403.5554851875. Note that the first 3 decimals coincide. The cubic root of 1969968 is about 125.3582893819.

1969968 divided by its sum of digits (48) gives a triangular number (41041 = T286).

It can be divided in two parts, 1 and 969968, that added together give a palindrome (969969).

The spelling of 1969968 in words is "one million, nine hundred sixty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 41 42 44 48 52 56 66 77 78 82 84 88 91 104 112 123 132 143 154 156 164 168 176 182 208 231 246 264 273 286 287 308 312 328 336 364 429 451 462 492 528 533 546 572 574 616 624 656 728 858 861 902 924 984 1001 1066 1092 1144 1148 1232 1353 1456 1599 1716 1722 1804 1848 1968 2002 2132 2184 2288 2296 2706 3003 3157 3198 3432 3444 3608 3696 3731 4004 4264 4368 4592 5412 5863 6006 6314 6396 6864 6888 7216 7462 8008 8528 9471 10824 11193 11726 12012 12628 12792 13776 14924 16016 17589 18942 21648 22386 23452 24024 25256 25584 29848 35178 37884 41041 44772 46904 48048 50512 59696 70356 75768 82082 89544 93808 123123 140712 151536 164164 179088 246246 281424 328328 492492 656656 984984 1969968