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1936968 = 2331122329
BaseRepresentation
bin111011000111001001000
310122102000120
413120321020
5443440333
6105303240
722315065
oct7307110
93572016
101936968
111103300
12794b20
1352a847
14385c6c
15283db3
hex1d8e48

1936968 has 96 divisors (see below), whose sum is σ = 5745600. Its totient is φ = 542080.

The previous prime is 1936943. The next prime is 1936969. The reversal of 1936968 is 8696391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1936969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 66778 + ... + 66806.

It is an arithmetic number, because the mean of its divisors is an integer number (59850).

21936968 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 1936968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2872800).

1936968 is an abundant number, since it is smaller than the sum of its proper divisors (3808632).

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

1936968 is a wasteful number, since it uses less digits than its factorization.

1936968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 68 counting only the distinct ones).

The product of its digits is 69984, while the sum is 42.

The square root of 1936968 is about 1391.7499775463. The cubic root of 1936968 is about 124.6543624919.

The spelling of 1936968 in words is "one million, nine hundred thirty-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 23 24 29 33 44 46 58 66 69 87 88 92 116 121 132 138 174 184 232 242 253 264 276 319 348 363 484 506 552 638 667 696 726 759 957 968 1012 1276 1334 1452 1518 1914 2001 2024 2552 2668 2783 2904 3036 3509 3828 4002 5336 5566 6072 7018 7337 7656 8004 8349 10527 11132 14036 14674 16008 16698 21054 22011 22264 28072 29348 33396 42108 44022 58696 66792 80707 84216 88044 161414 176088 242121 322828 484242 645656 968484 1936968