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2059640 = 2351131151
BaseRepresentation
bin111110110110101111000
310212122021222
413312311320
51011402030
6112051212
723335532
oct7666570
93778258
102059640
111187490
12833b08
1357162b
143b8852
152aa3e5
hex1f6d78

2059640 has 64 divisors (see below), whose sum is σ = 5253120. Its totient is φ = 720000.

The previous prime is 2059637. The next prime is 2059649. The reversal of 2059640 is 469502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2059649) 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, 13565 + ... + 13715.

It is an arithmetic number, because the mean of its divisors is an integer number (82080).

22059640 is an apocalyptic number.

2059640 is a gapful number since it is divisible by the number (20) 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 2059640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2626560).

2059640 is an abundant number, since it is smaller than the sum of its proper divisors (3193480).

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

2059640 is a wasteful number, since it uses less digits than its factorization.

2059640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 200 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 2059640 is about 1435.1445920185. The cubic root of 2059640 is about 127.2322202570.

The spelling of 2059640 in words is "two million, fifty-nine thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 31 40 44 55 62 88 110 124 151 155 220 248 302 310 341 440 604 620 682 755 1208 1240 1364 1510 1661 1705 2728 3020 3322 3410 4681 6040 6644 6820 8305 9362 13288 13640 16610 18724 23405 33220 37448 46810 51491 66440 93620 102982 187240 205964 257455 411928 514910 1029820 2059640