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2115990 = 233517461
BaseRepresentation
bin1000000100100110010110
310222111121000
420010212112
51020202430
6113204130
723662032
oct10044626
93874530
102115990
111215858
12860646
13591186
143d11c2
152bbe60
hex204996

2115990 has 64 divisors (see below), whose sum is σ = 5987520. Its totient is φ = 529920.

The previous prime is 2115983. The next prime is 2116019. The reversal of 2115990 is 995112.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 4360 + ... + 4820.

It is an arithmetic number, because the mean of its divisors is an integer number (93555).

22115990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2115990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2993760).

2115990 is an abundant number, since it is smaller than the sum of its proper divisors (3871530).

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

2115990 is a wasteful number, since it uses less digits than its factorization.

2115990 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 27.

The square root of 2115990 is about 1454.6442864151. The cubic root of 2115990 is about 128.3821182190.

It can be divided in two parts, 21 and 15990, that multiplied together give a triangular number (335790 = T819).

The spelling of 2115990 in words is "two million, one hundred fifteen thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 17 18 27 30 34 45 51 54 85 90 102 135 153 170 255 270 306 459 461 510 765 918 922 1383 1530 2295 2305 2766 4149 4590 4610 6915 7837 8298 12447 13830 15674 20745 23511 24894 39185 41490 47022 62235 70533 78370 117555 124470 141066 211599 235110 352665 423198 705330 1057995 2115990