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980352 = 27322337
BaseRepresentation
bin11101111010110000000
31211210210100
43233112000
5222332402
633002400
711222112
oct3572600
91753710
10980352
1160a60a
123b3400
132842b9
141b73b2
1514571c
hexef580

980352 has 96 divisors (see below), whose sum is σ = 3023280. Its totient is φ = 304128.

The previous prime is 980327. The next prime is 980363. The reversal of 980352 is 253089.

980352 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×9803522 = 1922180087808, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

980352 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26478 + ... + 26514.

2980352 is an apocalyptic number.

980352 is a gapful number since it is divisible by the number (92) 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 980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1511640).

980352 is an abundant number, since it is smaller than the sum of its proper divisors (2042928).

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

980352 is a wasteful number, since it uses less digits than its factorization.

980352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 980352 is about 990.1272645473. The cubic root of 980352 is about 99.3407298468.

The spelling of 980352 in words is "nine hundred eighty thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 37 46 48 64 69 72 74 92 96 111 128 138 144 148 184 192 207 222 276 288 296 333 368 384 414 444 552 576 592 666 736 828 851 888 1104 1152 1184 1332 1472 1656 1702 1776 2208 2368 2553 2664 2944 3312 3404 3552 4416 4736 5106 5328 6624 6808 7104 7659 8832 10212 10656 13248 13616 14208 15318 20424 21312 26496 27232 30636 40848 42624 54464 61272 81696 108928 122544 163392 245088 326784 490176 980352