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980406 = 232731251
BaseRepresentation
bin11101111010110110110
31211210212100
43233112312
5222333111
633002530
711222220
oct3572666
91753770
10980406
1160a659
123b3446
1328432b
141b7410
15145756
hexef5b6

980406 has 48 divisors (see below), whose sum is σ = 2515968. Its totient is φ = 270000.

The previous prime is 980401. The next prime is 980417. The reversal of 980406 is 604089.

It is a super-2 number, since 2×9804062 = 1922391849672, which contains 22 as substring.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is a zygodrome in base 5.

It is a self number, because there is not a number n which added to its sum of digits gives 980406.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (980401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3781 + ... + 4031.

It is an arithmetic number, because the mean of its divisors is an integer number (52416).

2980406 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 980406, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1257984).

980406 is an abundant number, since it is smaller than the sum of its proper divisors (1535562).

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

980406 is a wasteful number, since it uses less digits than its factorization.

980406 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 297 (or 294 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 980406 is about 990.1545333937. The cubic root of 980406 is about 99.3425537838.

The spelling of 980406 in words is "nine hundred eighty thousand, four hundred six".

Divisors: 1 2 3 6 7 9 14 18 21 31 42 62 63 93 126 186 217 251 279 434 502 558 651 753 1302 1506 1757 1953 2259 3514 3906 4518 5271 7781 10542 15562 15813 23343 31626 46686 54467 70029 108934 140058 163401 326802 490203 980406