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4097940 = 2235711887
BaseRepresentation
bin1111101000011110010100
321201012022120
433220132110
52022113230
6223455540
746555230
oct17503624
97635276
104097940
112349930
1214575b0
13b06322
147895c0
1555e310
hex3e8794

4097940 has 96 divisors (see below), whose sum is σ = 14321664. Its totient is φ = 850560.

The previous prime is 4097923. The next prime is 4097953. The reversal of 4097940 is 497904.

4097940 is digitally balanced in base 8, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×40979402 = 33586224487200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

4097940 is strictly pandigital in base 8.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4177 + ... + 5063.

It is an arithmetic number, because the mean of its divisors is an integer number (149184).

Almost surely, 24097940 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4097940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7160832).

4097940 is an abundant number, since it is smaller than the sum of its proper divisors (10223724).

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

4097940 is a wasteful number, since it uses less digits than its factorization.

4097940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 33.

The square root of 4097940 is about 2024.3369284781. The cubic root of 4097940 is about 160.0252564297.

The spelling of 4097940 in words is "four million, ninety-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 887 924 1155 1540 1774 2310 2661 3548 4435 4620 5322 6209 8870 9757 10644 12418 13305 17740 18627 19514 24836 26610 29271 31045 37254 39028 48785 53220 58542 62090 68299 74508 93135 97570 117084 124180 136598 146355 186270 195140 204897 273196 292710 341495 372540 409794 585420 682990 819588 1024485 1365980 2048970 4097940