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1936116 = 2233713197
BaseRepresentation
bin111011000101011110100
310122100212000
413120223310
5443423431
6105255300
722312440
oct7305364
93570760
101936116
1111026a6
12794530
1352a340
14385820
152839e6
hex1d8af4

1936116 has 96 divisors (see below), whose sum is σ = 6209280. Its totient is φ = 508032.

The previous prime is 1936111. The next prime is 1936133. The reversal of 1936116 is 6116391.

It is a Harshad number since it is a multiple of its sum of digits (27).

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

It is a self number, because there is not a number n which added to its sum of digits gives 1936116.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1936111) 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, 9730 + ... + 9926.

It is an arithmetic number, because the mean of its divisors is an integer number (64680).

21936116 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 1936116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104640).

1936116 is an abundant number, since it is smaller than the sum of its proper divisors (4273164).

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

1936116 is a wasteful number, since it uses less digits than its factorization.

1936116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230 (or 222 counting only the distinct ones).

The product of its digits is 972, while the sum is 27.

The square root of 1936116 is about 1391.4438544189. The cubic root of 1936116 is about 124.6360828761.

The spelling of 1936116 in words is "one million, nine hundred thirty-six thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 27 28 36 39 42 52 54 63 78 84 91 108 117 126 156 182 189 197 234 252 273 351 364 378 394 468 546 591 702 756 788 819 1092 1182 1379 1404 1638 1773 2364 2457 2561 2758 3276 3546 4137 4914 5122 5319 5516 7092 7683 8274 9828 10244 10638 12411 15366 16548 17927 21276 23049 24822 30732 35854 37233 46098 49644 53781 69147 71708 74466 92196 107562 138294 148932 161343 215124 276588 322686 484029 645372 968058 1936116