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7014420 = 22325719293
BaseRepresentation
bin11010110000100000010100
3111012100222100
4122300200110
53243430140
6410202100
7113423130
oct32604024
914170870
107014420
113a61046
122423330
1315b795a
14d083c0
15938530
hex6b0814

7014420 has 144 divisors (see below), whose sum is σ = 25683840. Its totient is φ = 1513728.

The previous prime is 7014419. The next prime is 7014437. The reversal of 7014420 is 244107.

7014420 = T256 + T257 + ... + T388.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 7014393 and 7014402.

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, 23794 + ... + 24086.

It is an arithmetic number, because the mean of its divisors is an integer number (178360).

Almost surely, 27014420 is an apocalyptic number.

7014420 is a gapful number since it is divisible by the number (70) 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 7014420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12841920).

7014420 is an abundant number, since it is smaller than the sum of its proper divisors (18669420).

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

7014420 is a wasteful number, since it uses less digits than its factorization.

7014420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 329 counting only the distinct ones).

The product of its (nonzero) digits is 224, while the sum is 18.

The square root of 7014420 is about 2648.4750329199. The cubic root of 7014420 is about 191.4243827914.

Adding to 7014420 its reverse (244107), we get a palindrome (7258527).

The spelling of 7014420 in words is "seven million, fourteen thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 19 20 21 28 30 35 36 38 42 45 57 60 63 70 76 84 90 95 105 114 126 133 140 171 180 190 210 228 252 266 285 293 315 342 380 399 420 532 570 586 630 665 684 798 855 879 1140 1172 1197 1260 1330 1465 1596 1710 1758 1995 2051 2394 2637 2660 2930 3420 3516 3990 4102 4395 4788 5274 5567 5860 5985 6153 7980 8204 8790 10255 10548 11134 11970 12306 13185 16701 17580 18459 20510 22268 23940 24612 26370 27835 30765 33402 36918 38969 41020 50103 52740 55670 61530 66804 73836 77938 83505 92295 100206 111340 116907 123060 155876 167010 184590 194845 200412 233814 250515 334020 350721 369180 389690 467628 501030 584535 701442 779380 1002060 1169070 1402884 1753605 2338140 3507210 7014420