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2101896 = 233337263
BaseRepresentation
bin1000000001001010001000
310221210021000
420001022020
51014230041
6113015000
723602656
oct10011210
93853230
102101896
111206205
12854460
13587934
143c9dd6
152b7bb6
hex201288

2101896 has 64 divisors (see below), whose sum is σ = 6019200. Its totient is φ = 679104.

The previous prime is 2101873. The next prime is 2101903. The reversal of 2101896 is 6981012.

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

It is an alternating number because its digits alternate between even and odd.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7861 + ... + 8123.

It is an arithmetic number, because the mean of its divisors is an integer number (94050).

22101896 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3009600).

2101896 is an abundant number, since it is smaller than the sum of its proper divisors (3917304).

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

2101896 is a wasteful number, since it uses less digits than its factorization.

2101896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 2101896 is about 1449.7917091776. The cubic root of 2101896 is about 128.0964442409.

The spelling of 2101896 in words is "two million, one hundred one thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 263 296 333 444 526 666 789 888 999 1052 1332 1578 1998 2104 2367 2664 3156 3996 4734 6312 7101 7992 9468 9731 14202 18936 19462 28404 29193 38924 56808 58386 77848 87579 116772 175158 233544 262737 350316 525474 700632 1050948 2101896