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4194920 = 2351731199
BaseRepresentation
bin10000000000001001101000
321220010100102
4100000021220
52033214140
6225524532
750441042
oct20001150
97803312
104194920
112405784
1214a3748
13b3b502
147b2a92
1557ce15
hex400268

4194920 has 64 divisors (see below), whose sum is σ = 10368000. Its totient is φ = 1520640.

The previous prime is 4194919. The next prime is 4194961. The reversal of 4194920 is 294914.

4194920 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20981 + ... + 21179.

It is an arithmetic number, because the mean of its divisors is an integer number (162000).

Almost surely, 24194920 is an apocalyptic number.

4194920 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 4194920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5184000).

4194920 is an abundant number, since it is smaller than the sum of its proper divisors (6173080).

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

4194920 is a wasteful number, since it uses less digits than its factorization.

4194920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 254 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 4194920 is about 2048.1503851036. The cubic root of 4194920 is about 161.2777890132.

The spelling of 4194920 in words is "four million, one hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 31 34 40 62 68 85 124 136 155 170 199 248 310 340 398 527 620 680 796 995 1054 1240 1592 1990 2108 2635 3383 3980 4216 5270 6169 6766 7960 10540 12338 13532 16915 21080 24676 27064 30845 33830 49352 61690 67660 104873 123380 135320 209746 246760 419492 524365 838984 1048730 2097460 4194920