Search a number
-
+
1020994800 = 243527121547
BaseRepresentation
bin111100110110110…
…010010011110000
32122011011220120020
4330312302103300
54042333313200
6245151243440
734205212140
oct7466622360
92564156506
101020994800
11484363561
12245b19580
131336ab347
1499854920
155e97bea0
hex3cdb24f0

1020994800 has 120 divisors (see below), whose sum is σ = 3737844096. Its totient is φ = 233368320.

The previous prime is 1020994781. The next prime is 1020994801. The reversal of 1020994800 is 84990201.

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020994801) 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, 52374 + ... + 69173.

Almost surely, 21020994800 is an apocalyptic number.

1020994800 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020994800 is an abundant number, since it is smaller than the sum of its proper divisors (2716849296).

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

1020994800 is a wasteful number, since it uses less digits than its factorization.

1020994800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121575 (or 121564 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 33.

The square root of 1020994800 is about 31953.0092479566. The cubic root of 1020994800 is about 1006.9498542981.

The spelling of 1020994800 in words is "one billion, twenty million, nine hundred ninety-four thousand, eight hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 140 150 168 175 200 210 240 280 300 336 350 400 420 525 560 600 700 840 1050 1200 1400 1680 2100 2800 4200 8400 121547 243094 364641 486188 607735 729282 850829 972376 1215470 1458564 1701658 1823205 1944752 2430940 2552487 2917128 3038675 3403316 3646410 4254145 4861880 5104974 5834256 6077350 6806632 7292820 8508290 9116025 9723760 10209948 12154700 12762435 13613264 14585640 17016580 18232050 20419896 21270725 24309400 25524870 29171280 34033160 36464100 40839792 42541450 48618800 51049740 63812175 68066320 72928200 85082900 102099480 127624350 145856400 170165800 204198960 255248700 340331600 510497400 1020994800