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4196280 = 2335112172
BaseRepresentation
bin10000000000011110111000
321220012012210
4100000132320
52033240110
6225535120
750445024
oct20003670
97805183
104196280
112406800
1214a44a0
13b3c00a
147b3384
1557d520
hex4007b8

4196280 has 144 divisors (see below), whose sum is σ = 14699160. Its totient is φ = 957440.

The previous prime is 4196267. The next prime is 4196299. The reversal of 4196280 is 826914.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 246832 + ... + 246848.

Almost surely, 24196280 is an apocalyptic number.

4196280 is a gapful number since it is divisible by the number (40) 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 4196280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7349580).

4196280 is an abundant number, since it is smaller than the sum of its proper divisors (10502880).

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

4196280 is a wasteful number, since it uses less digits than its factorization.

4196280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 38 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 30.

The square root of 4196280 is about 2048.4823650693. The cubic root of 4196280 is about 161.2952159720.

Multiplying 4196280 by its sum of digits (30), we get a square (125888400 = 112202).

4196280 divided by its sum of digits (30) gives a square (139876 = 3742).

The spelling of 4196280 in words is "four million, one hundred ninety-six thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 121 132 136 165 170 187 204 220 242 255 264 289 330 340 363 374 408 440 484 510 561 578 605 660 680 726 748 867 935 968 1020 1122 1156 1210 1320 1445 1452 1496 1734 1815 1870 2040 2057 2244 2312 2420 2805 2890 2904 3179 3468 3630 3740 4114 4335 4488 4840 5610 5780 6171 6358 6936 7260 7480 8228 8670 9537 10285 11220 11560 12342 12716 14520 15895 16456 17340 19074 20570 22440 24684 25432 30855 31790 34680 34969 38148 41140 47685 49368 61710 63580 69938 76296 82280 95370 104907 123420 127160 139876 174845 190740 209814 246840 279752 349690 381480 419628 524535 699380 839256 1049070 1398760 2098140 4196280