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2099136 = 26313292
BaseRepresentation
bin1000000000011111000000
310221122110210
420000133000
51014133021
6112554120
723561634
oct10003700
93848423
102099136
111204126
12852940
135865c0
143c8dc4
152b6e76
hex2007c0

2099136 has 84 divisors (see below), whose sum is σ = 6194552. Its totient is φ = 623616.

The previous prime is 2099129. The next prime is 2099147. The reversal of 2099136 is 6319902.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72370 + ... + 72398.

22099136 is an apocalyptic number.

2099136 is a gapful number since it is divisible by the number (26) 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 2099136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3097276).

2099136 is an abundant number, since it is smaller than the sum of its proper divisors (4095416).

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

2099136 is a wasteful number, since it uses less digits than its factorization.

2099136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 47 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 30.

The square root of 2099136 is about 1448.8395356284. The cubic root of 2099136 is about 128.0403518611.

The spelling of 2099136 in words is "two million, ninety-nine thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 29 32 39 48 52 58 64 78 87 96 104 116 156 174 192 208 232 312 348 377 416 464 624 696 754 832 841 928 1131 1248 1392 1508 1682 1856 2262 2496 2523 2784 3016 3364 4524 5046 5568 6032 6728 9048 10092 10933 12064 13456 18096 20184 21866 24128 26912 32799 36192 40368 43732 53824 65598 72384 80736 87464 131196 161472 174928 262392 349856 524784 699712 1049568 2099136