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2090640 = 243531281
BaseRepresentation
bin111111110011010010000
310221012211010
413332122100
51013400030
6112450520
723525106
oct7763220
93835733
102090640
1111a8802
12849a40
13582786
143c5c76
152b46b0
hex1fe690

2090640 has 80 divisors (see below), whose sum is σ = 6713856. Its totient is φ = 537600.

The previous prime is 2090633. The next prime is 2090651. The reversal of 2090640 is 460902.

It is a tau number, because it is divible by the number of its divisors (80).

It is an Ulam number.

It is a nialpdrome in base 8.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7300 + ... + 7580.

22090640 is an apocalyptic number.

2090640 is a gapful number since it is divisible by the number (20) 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 2090640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3356928).

2090640 is an abundant number, since it is smaller than the sum of its proper divisors (4623216).

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

2090640 is a wasteful number, since it uses less digits than its factorization.

2090640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 328 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2090640 is about 1445.9045611658. The cubic root of 2090640 is about 127.8673756525.

The spelling of 2090640 in words is "two million, ninety thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 281 310 372 465 496 562 620 744 843 930 1124 1240 1405 1488 1686 1860 2248 2480 2810 3372 3720 4215 4496 5620 6744 7440 8430 8711 11240 13488 16860 17422 22480 26133 33720 34844 43555 52266 67440 69688 87110 104532 130665 139376 174220 209064 261330 348440 418128 522660 696880 1045320 2090640