Search a number
-
+
2150904 = 233723159
BaseRepresentation
bin1000001101000111111000
311001021111010
420031013320
51022312104
6114033520
724165600
oct10150770
94037433
102150904
11123a008
128788a0
135a4032
143ddc00
152c7489
hex20d1f8

2150904 has 96 divisors (see below), whose sum is σ = 6566400. Its totient is φ = 584640.

The previous prime is 2150881. The next prime is 2150917. The reversal of 2150904 is 4090512.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36427 + ... + 36485.

It is an arithmetic number, because the mean of its divisors is an integer number (68400).

22150904 is an apocalyptic number.

2150904 is a gapful number since it is divisible by the number (24) 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 2150904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3283200).

2150904 is an abundant number, since it is smaller than the sum of its proper divisors (4415496).

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

2150904 is a wasteful number, since it uses less digits than its factorization.

2150904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 2150904 is about 1466.5960589065. The cubic root of 2150904 is about 129.0843748233.

The spelling of 2150904 in words is "two million, one hundred fifty thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 31 42 49 56 59 62 84 93 98 118 124 147 168 177 186 196 217 236 248 294 354 372 392 413 434 472 588 651 708 744 826 868 1176 1239 1302 1416 1519 1652 1736 1829 2478 2604 2891 3038 3304 3658 4557 4956 5208 5487 5782 6076 7316 8673 9114 9912 10974 11564 12152 12803 14632 17346 18228 21948 23128 25606 34692 36456 38409 43896 51212 69384 76818 89621 102424 153636 179242 268863 307272 358484 537726 716968 1075452 2150904