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2083416 = 233471847
BaseRepresentation
bin111111100101001011000
310220211220120
413330221120
51013132131
6112353240
723465046
oct7745130
93824816
102083416
1111a3335
12845820
1357c3ba
143c3396
152b2496
hex1fca58

2083416 has 32 divisors (see below), whose sum is σ = 5322240. Its totient is φ = 679328.

The previous prime is 2083399. The next prime is 2083421. The reversal of 2083416 is 6143802.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 205 + ... + 2051.

It is an arithmetic number, because the mean of its divisors is an integer number (166320).

22083416 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 2083416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661120).

2083416 is an abundant number, since it is smaller than the sum of its proper divisors (3238824).

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

2083416 is a wasteful number, since it uses less digits than its factorization.

2083416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1903 (or 1899 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 2083416 is about 1443.4043092633. The cubic root of 2083416 is about 127.7199279965.

It can be divided in two parts, 20 and 83416, that added together give a triangular number (83436 = T408).

The spelling of 2083416 in words is "two million, eighty-three thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 24 47 94 141 188 282 376 564 1128 1847 3694 5541 7388 11082 14776 22164 44328 86809 173618 260427 347236 520854 694472 1041708 2083416