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1214928 = 2432111359
BaseRepresentation
bin100101000100111010000
32021201120100
410220213100
5302334203
642012400
713220031
oct4504720
92251510
101214928
1175a880
124a7100
13336cc0
14238a88
1518eea3
hex1289d0

1214928 has 120 divisors (see below), whose sum is σ = 4062240. Its totient is φ = 334080.

The previous prime is 1214923. The next prime is 1214933. The reversal of 1214928 is 8294121.

It is an interprime number because it is at equal distance from previous prime (1214923) and next prime (1214933).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214923) 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, 20563 + ... + 20621.

It is an arithmetic number, because the mean of its divisors is an integer number (33852).

21214928 is an apocalyptic number.

1214928 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 1214928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2031120).

1214928 is an abundant number, since it is smaller than the sum of its proper divisors (2847312).

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

1214928 is a wasteful number, since it uses less digits than its factorization.

1214928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 88 counting only the distinct ones).

The product of its digits is 1152, while the sum is 27.

The square root of 1214928 is about 1102.2377239053. The cubic root of 1214928 is about 106.7046913044.

The spelling of 1214928 in words is "one million, two hundred fourteen thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 11 12 13 16 18 22 24 26 33 36 39 44 48 52 59 66 72 78 88 99 104 117 118 132 143 144 156 176 177 198 208 234 236 264 286 312 354 396 429 468 472 528 531 572 624 649 708 767 792 858 936 944 1062 1144 1287 1298 1416 1534 1584 1716 1872 1947 2124 2288 2301 2574 2596 2832 3068 3432 3894 4248 4602 5148 5192 5841 6136 6864 6903 7788 8437 8496 9204 10296 10384 11682 12272 13806 15576 16874 18408 20592 23364 25311 27612 31152 33748 36816 46728 50622 55224 67496 75933 93456 101244 110448 134992 151866 202488 303732 404976 607464 1214928