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1912968 = 23321632
BaseRepresentation
bin111010011000010001000
310121012002200
413103002020
5442203333
6105000200
722155111
oct7230210
93535080
101912968
111097272
12783060
1351c945
1437b208
1527bc13
hex1d3088

1912968 has 36 divisors (see below), whose sum is σ = 5212935. Its totient is φ = 633744.

The previous prime is 1912951. The next prime is 1912969. The reversal of 1912968 is 8692191.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 956484 + 956484 = 978^2 + 978^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=978.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (1912969) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11655 + ... + 11817.

21912968 is an apocalyptic number.

1912968 is a gapful number since it is divisible by the number (18) 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 1912968

1912968 is an abundant number, since it is smaller than the sum of its proper divisors (3299967).

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

1912968 is a wasteful number, since it uses less digits than its factorization.

1912968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 338 (or 168 counting only the distinct ones).

The product of its digits is 7776, while the sum is 36.

The square root of 1912968 is about 1383.1008640009. The cubic root of 1912968 is about 124.1373780946.

The spelling of 1912968 in words is "one million, nine hundred twelve thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1304 1467 1956 2934 3912 5868 11736 26569 53138 79707 106276 159414 212552 239121 318828 478242 637656 956484 1912968