Search a number
-
+
2149700 = 225273783
BaseRepresentation
bin1000001100110101000100
311001012211112
420030311010
51022242300
6114024152
724162230
oct10146504
94035745
102149700
111239113
12878058
135a3617
143dd5c0
152c6e35
hex20cd44

2149700 has 72 divisors (see below), whose sum is σ = 5541312. Its totient is φ = 708480.

The previous prime is 2149687. The next prime is 2149703. The reversal of 2149700 is 79412.

2149700 = T91 + T92 + ... + T238.

It is not an unprimeable number, because it can be changed into a prime (2149703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25859 + ... + 25941.

22149700 is an apocalyptic number.

2149700 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 2149700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2770656).

2149700 is an abundant number, since it is smaller than the sum of its proper divisors (3391612).

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

2149700 is a wasteful number, since it uses less digits than its factorization.

2149700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 23.

The square root of 2149700 is about 1466.1855271418. The cubic root of 2149700 is about 129.0602847050.

The spelling of 2149700 in words is "two million, one hundred forty-nine thousand, seven hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 83 100 140 148 166 175 185 259 332 350 370 415 518 581 700 740 830 925 1036 1162 1295 1660 1850 2075 2324 2590 2905 3071 3700 4150 5180 5810 6142 6475 8300 11620 12284 12950 14525 15355 21497 25900 29050 30710 42994 58100 61420 76775 85988 107485 153550 214970 307100 429940 537425 1074850 2149700