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2091690 = 233561127
BaseRepresentation
bin111111110101010101010
310221021021000
413332222222
51013413230
6112455430
723531136
oct7765252
93837230
102091690
1111a9577
1284a576
135830b3
143c63c6
152b4b60
hex1feaaa

2091690 has 64 divisors (see below), whose sum is σ = 5713920. Its totient is φ = 544320.

The previous prime is 2091671. The next prime is 2091703. The reversal of 2091690 is 961902.

It is a happy number.

It is a super-2 number, since 2×20916902 = 8750334112200, which contains 22 as substring.

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 a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16407 + ... + 16533.

It is an arithmetic number, because the mean of its divisors is an integer number (89280).

22091690 is an apocalyptic number.

2091690 is the 915-th heptagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2091690, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2856960).

2091690 is an abundant number, since it is smaller than the sum of its proper divisors (3622230).

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

2091690 is a wasteful number, since it uses less digits than its factorization.

2091690 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 2091690 is about 1446.2676100916. The cubic root of 2091690 is about 127.8887787115. Note that the first 3 decimals are identical.

The spelling of 2091690 in words is "two million, ninety-one thousand, six hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 61 90 122 127 135 183 254 270 305 366 381 549 610 635 762 915 1098 1143 1270 1647 1830 1905 2286 2745 3294 3429 3810 5490 5715 6858 7747 8235 11430 15494 16470 17145 23241 34290 38735 46482 69723 77470 116205 139446 209169 232410 348615 418338 697230 1045845 2091690