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5957940 = 2235109911
BaseRepresentation
bin10110101110100100110100
3102012200202110
4112232210310
53011123230
6331411020
7101433042
oct26564464
912180673
105957940
1133aa31a
121bb3a70
131307b11
14b11392
157ca4b0
hex5ae934

5957940 has 48 divisors (see below), whose sum is σ = 16853760. Its totient is φ = 1572480.

The previous prime is 5957933. The next prime is 5957953. The reversal of 5957940 is 497595.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6085 + ... + 6995.

It is an arithmetic number, because the mean of its divisors is an integer number (351120).

Almost surely, 25957940 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 5957940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8426880).

5957940 is an abundant number, since it is smaller than the sum of its proper divisors (10895820).

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

5957940 is a wasteful number, since it uses less digits than its factorization.

5957940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032 (or 1030 counting only the distinct ones).

The product of its (nonzero) digits is 56700, while the sum is 39.

The square root of 5957940 is about 2440.8891822449. The cubic root of 5957940 is about 181.2864627395.

The spelling of 5957940 in words is "five million, nine hundred fifty-seven thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 109 218 327 436 545 654 911 1090 1308 1635 1822 2180 2733 3270 3644 4555 5466 6540 9110 10932 13665 18220 27330 54660 99299 198598 297897 397196 496495 595794 992990 1191588 1489485 1985980 2978970 5957940