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6214140 = 22325192379
BaseRepresentation
bin10111101101000111111100
3102200201012100
4113231013330
53042323030
6341105100
7103551012
oct27550774
912621170
106214140
113564859
1220b8190
13139760a
14b7a8b2
1582b360
hex5ed1fc

6214140 has 144 divisors (see below), whose sum is σ = 20966400. Its totient is φ = 1482624.

The previous prime is 6214139. The next prime is 6214157. The reversal of 6214140 is 414126.

6214140 is a `hidden beast` number, since 621 + 4 + 1 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78621 + ... + 78699.

It is an arithmetic number, because the mean of its divisors is an integer number (145600).

Almost surely, 26214140 is an apocalyptic number.

6214140 is a gapful number since it is divisible by the number (60) 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 6214140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10483200).

6214140 is an abundant number, since it is smaller than the sum of its proper divisors (14752260).

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

6214140 is a wasteful number, since it uses less digits than its factorization.

6214140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 131 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 6214140 is about 2492.8176828641. The cubic root of 6214140 is about 183.8486073545.

Adding to 6214140 its reverse (414126), we get a palindrome (6628266).

It can be divided in two parts, 621 and 4140, that added together give a square (4761 = 692).

The spelling of 6214140 in words is "six million, two hundred fourteen thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 23 30 36 38 45 46 57 60 69 76 79 90 92 95 114 115 138 158 171 180 190 207 228 230 237 276 285 316 342 345 380 395 414 437 460 474 570 684 690 711 790 828 855 874 948 1035 1140 1185 1311 1380 1422 1501 1580 1710 1748 1817 2070 2185 2370 2622 2844 3002 3420 3555 3634 3933 4140 4370 4503 4740 5244 5451 6004 6555 7110 7268 7505 7866 8740 9006 9085 10902 13110 13509 14220 15010 15732 16353 18012 18170 19665 21804 22515 26220 27018 27255 30020 32706 34523 36340 39330 45030 54036 54510 65412 67545 69046 78660 81765 90060 103569 109020 135090 138092 163530 172615 207138 270180 310707 327060 345230 414276 517845 621414 690460 1035690 1242828 1553535 2071380 3107070 6214140