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2030832 = 24341567
BaseRepresentation
bin111101111110011110000
310211011210000
413233303300
51004441312
6111310000
723155536
oct7576360
93734700
102030832
111167881
1281b300
1356149b
143ac156
152a1adc
hex1efcf0

2030832 has 50 divisors (see below), whose sum is σ = 5881568. Its totient is φ = 676512.

The previous prime is 2030789. The next prime is 2030879. The reversal of 2030832 is 2380302.

It is a super-2 number, since 2×20308322 = 8248557224448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 513 + ... + 2079.

22030832 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 2030832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2940784).

2030832 is an abundant number, since it is smaller than the sum of its proper divisors (3850736).

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

2030832 is a wasteful number, since it uses less digits than its factorization.

2030832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1587 (or 1572 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 2030832 is about 1425.0726297280. The cubic root of 2030832 is about 126.6362376891.

Adding to 2030832 its product of nonzero digits (288), we get a triangular number (2031120 = T2015).

The spelling of 2030832 in words is "two million, thirty thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1567 3134 4701 6268 9402 12536 14103 18804 25072 28206 37608 42309 56412 75216 84618 112824 126927 169236 225648 253854 338472 507708 676944 1015416 2030832