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7868420 = 225733137
BaseRepresentation
bin11110000001000000000100
3112210202102222
4132001000010
54003242140
6440351512
7123611000
oct36010004
915722388
107868420
11449472a
122775598
131826591
14108b700
15a565b5
hex781004

7868420 has 96 divisors (see below), whose sum is σ = 20428800. Its totient is φ = 2540160.

The previous prime is 7868381. The next prime is 7868423. The reversal of 7868420 is 248687.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is not an unprimeable number, because it can be changed into a prime (7868423) 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, 212642 + ... + 212678.

It is an arithmetic number, because the mean of its divisors is an integer number (212800).

Almost surely, 27868420 is an apocalyptic number.

7868420 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 7868420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10214400).

7868420 is an abundant number, since it is smaller than the sum of its proper divisors (12560380).

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

7868420 is a wasteful number, since it uses less digits than its factorization.

7868420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The square root of 7868420 is about 2805.0704090985. The cubic root of 7868420 is about 198.8974328984.

The spelling of 7868420 in words is "seven million, eight hundred sixty-eight thousand, four hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 31 35 37 49 62 70 74 98 124 140 148 155 185 196 217 245 259 310 343 370 434 490 518 620 686 740 868 980 1036 1085 1147 1295 1372 1519 1715 1813 2170 2294 2590 3038 3430 3626 4340 4588 5180 5735 6076 6860 7252 7595 8029 9065 10633 11470 12691 15190 16058 18130 21266 22940 25382 30380 32116 36260 40145 42532 50764 53165 56203 63455 80290 106330 112406 126910 160580 212660 224812 253820 281015 393421 562030 786842 1124060 1573684 1967105 3934210 7868420