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5973940 = 225771601
BaseRepresentation
bin10110110010011110110100
3102020111201001
4112302132310
53012131230
6332013044
7101530510
oct26623664
912214631
105973940
113410345
122001184
13131219b
14b17140
157d00ca
hex5b27b4

5973940 has 48 divisors (see below), whose sum is σ = 14563584. Its totient is φ = 2016000.

The previous prime is 5973937. The next prime is 5973943. The reversal of 5973940 is 493795.

It is an interprime number because it is at equal distance from previous prime (5973937) and next prime (5973943).

It is a self number, because there is not a number n which added to its sum of digits gives 5973940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5973943) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9640 + ... + 10240.

It is an arithmetic number, because the mean of its divisors is an integer number (303408).

Almost surely, 25973940 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 5973940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7281792).

5973940 is an abundant number, since it is smaller than the sum of its proper divisors (8589644).

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

5973940 is a wasteful number, since it uses less digits than its factorization.

5973940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 686 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 37.

The square root of 5973940 is about 2444.1644789171. The cubic root of 5973940 is about 181.4485988006.

The spelling of 5973940 in words is "five million, nine hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 71 140 142 284 355 497 601 710 994 1202 1420 1988 2404 2485 3005 4207 4970 6010 8414 9940 12020 16828 21035 42070 42671 84140 85342 170684 213355 298697 426710 597394 853420 1194788 1493485 2986970 5973940