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990453200 = 2452111631381
BaseRepresentation
bin111011000010010…
…001110111010000
32120000201020100212
4323002101313100
54012024000300
6242140503252
733354466442
oct7302216720
92500636325
10990453200
114690a3170
1223784ab28
1312a2769a9
1495784492
155be47935
hex3b091dd0

990453200 has 120 divisors (see below), whose sum is σ = 2613704736. Its totient is φ = 357696000.

The previous prime is 990453187. The next prime is 990453221. The reversal of 990453200 is 2354099.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 716510 + ... + 717890.

Almost surely, 2990453200 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 990453200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1306852368).

990453200 is an abundant number, since it is smaller than the sum of its proper divisors (1623251536).

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

990453200 is a wasteful number, since it uses less digits than its factorization.

990453200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1573 (or 1562 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 32.

The square root of 990453200 is about 31471.4664418422. The cubic root of 990453200 is about 996.8075524575.

The spelling of 990453200 in words is "nine hundred ninety million, four hundred fifty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 163 176 200 220 275 326 400 440 550 652 815 880 1100 1304 1381 1630 1793 2200 2608 2762 3260 3586 4075 4400 5524 6520 6905 7172 8150 8965 11048 13040 13810 14344 15191 16300 17930 22096 27620 28688 30382 32600 34525 35860 44825 55240 60764 65200 69050 71720 75955 89650 110480 121528 138100 143440 151910 179300 225103 243056 276200 303820 358600 379775 450206 552400 607640 717200 759550 900412 1125515 1215280 1519100 1800824 2251030 2476133 3038200 3601648 4502060 4952266 5627575 6076400 9004120 9904532 11255150 12380665 18008240 19809064 22510300 24761330 39618128 45020600 49522660 61903325 90041200 99045320 123806650 198090640 247613300 495226600 990453200