Search a number
-
+
1628120 = 2351331101
BaseRepresentation
bin110001101011111011000
310001201100202
412031133120
5404044440
654521332
716560464
oct6153730
93051322
101628120
11a1225a
12666248
134500b0
143054a4
15222615
hex18d7d8

1628120 has 64 divisors (see below), whose sum is σ = 4112640. Its totient is φ = 576000.

The previous prime is 1628117. The next prime is 1628131. The reversal of 1628120 is 218261.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1628092 and 1628101.

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, 16070 + ... + 16170.

It is an arithmetic number, because the mean of its divisors is an integer number (64260).

21628120 is an apocalyptic number.

1628120 is a gapful number since it is divisible by the number (10) 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 1628120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2056320).

1628120 is an abundant number, since it is smaller than the sum of its proper divisors (2484520).

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

1628120 is a wasteful number, since it uses less digits than its factorization.

1628120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

The square root of 1628120 is about 1275.9780562376. The cubic root of 1628120 is about 117.6419289920.

1628120 divided by its sum of digits (20) gives a triangular number (81406 = T403).

The spelling of 1628120 in words is "one million, six hundred twenty-eight thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 31 40 52 62 65 101 104 124 130 155 202 248 260 310 403 404 505 520 620 806 808 1010 1240 1313 1612 2015 2020 2626 3131 3224 4030 4040 5252 6262 6565 8060 10504 12524 13130 15655 16120 25048 26260 31310 40703 52520 62620 81406 125240 162812 203515 325624 407030 814060 1628120