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4194840 = 2335132689
BaseRepresentation
bin10000000000001000011000
321220010020110
4100000020120
52033213330
6225524320
750440566
oct20001030
97803213
104194840
112405711
1214a36a0
13b3b470
147b2a36
1557cdb0
hex400218

4194840 has 64 divisors (see below), whose sum is σ = 13557600. Its totient is φ = 1032192.

The previous prime is 4194823. The next prime is 4194847. The reversal of 4194840 is 484914.

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

It is a junction number, because it is equal to n+sod(n) for n = 4194798 and 4194807.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4194847) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 216 + ... + 2904.

Almost surely, 24194840 is an apocalyptic number.

4194840 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 4194840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6778800).

4194840 is an abundant number, since it is smaller than the sum of its proper divisors (9362760).

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

4194840 is a wasteful number, since it uses less digits than its factorization.

4194840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2716 (or 2712 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The square root of 4194840 is about 2048.1308551946. The cubic root of 4194840 is about 161.2767637806.

The spelling of 4194840 in words is "four million, one hundred ninety-four thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 78 104 120 130 156 195 260 312 390 520 780 1560 2689 5378 8067 10756 13445 16134 21512 26890 32268 34957 40335 53780 64536 69914 80670 104871 107560 139828 161340 174785 209742 279656 322680 349570 419484 524355 699140 838968 1048710 1398280 2097420 4194840