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2058480 = 24335953
BaseRepresentation
bin111110110100011110000
310212120201000
413312203300
51011332410
6112042000
723332254
oct7664360
93776630
102058480
111186626
12833300
13570c48
143b8264
152a9dc0
hex1f68f0

2058480 has 80 divisors (see below), whose sum is σ = 7097760. Its totient is φ = 548352.

The previous prime is 2058473. The next prime is 2058541. The reversal of 2058480 is 848502.

2058480 is a `hidden beast` number, since 2 + 0 + 584 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an Ulam number.

It is a nialpdrome in base 12.

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, 1684 + ... + 2636.

It is an arithmetic number, because the mean of its divisors is an integer number (88722).

22058480 is an apocalyptic number.

2058480 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 2058480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3548880).

2058480 is an abundant number, since it is smaller than the sum of its proper divisors (5039280).

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

2058480 is a wasteful number, since it uses less digits than its factorization.

2058480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 975 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 2058480 is about 1434.7403946359. The cubic root of 2058480 is about 127.2083298212.

The spelling of 2058480 in words is "two million, fifty-eight thousand, four hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 953 1080 1906 2160 2859 3812 4765 5718 7624 8577 9530 11436 14295 15248 17154 19060 22872 25731 28590 34308 38120 42885 45744 51462 57180 68616 76240 85770 102924 114360 128655 137232 171540 205848 228720 257310 343080 411696 514620 686160 1029240 2058480