Search a number
-
+
2076690 = 2357112931
BaseRepresentation
bin111111011000000010010
310220111200110
413323000102
51012423230
6112302150
723436330
oct7730022
93814613
102076690
111199280
12841956
13579315
143c0b50
152b04b0
hex1fb012

2076690 has 128 divisors (see below), whose sum is σ = 6635520. Its totient is φ = 403200.

The previous prime is 2076689. The next prime is 2076709. The reversal of 2076690 is 966702.

It is a super-3 number, since 3×20766903 = 26868057533397927000, which contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 66975 + ... + 67005.

It is an arithmetic number, because the mean of its divisors is an integer number (51840).

22076690 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2076690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3317760).

2076690 is an abundant number, since it is smaller than the sum of its proper divisors (4558830).

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

2076690 is a wasteful number, since it uses less digits than its factorization.

2076690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88.

The product of its (nonzero) digits is 4536, while the sum is 30.

The square root of 2076690 is about 1441.0725172593. The cubic root of 2076690 is about 127.5823382033.

The spelling of 2076690 in words is "two million, seventy-six thousand, six hundred ninety".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 29 30 31 33 35 42 55 58 62 66 70 77 87 93 105 110 145 154 155 165 174 186 203 210 217 231 290 310 319 330 341 385 406 434 435 462 465 609 638 651 682 770 870 899 930 957 1015 1023 1085 1155 1218 1302 1595 1705 1798 1914 2030 2046 2170 2233 2310 2387 2697 3045 3190 3255 3410 4466 4495 4774 4785 5115 5394 6090 6293 6510 6699 7161 8990 9570 9889 10230 11165 11935 12586 13398 13485 14322 18879 19778 22330 23870 26970 29667 31465 33495 35805 37758 49445 59334 62930 66990 69223 71610 94395 98890 138446 148335 188790 207669 296670 346115 415338 692230 1038345 2076690