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2073220480 = 27531831259
BaseRepresentation
bin111101110010010…
…1101010110000000
312100111010111211201
41323210231112000
513221221023410
6541420150544
7102243040402
oct17344552600
95314114751
102073220480
11974308261
1249a398454
132706a29a6
141594b8b72
15c202783a
hex7b92d580

2073220480 has 128 divisors (see below), whose sum is σ = 5181926400. Its totient is φ = 792238080.

The previous prime is 2073220477. The next prime is 2073220507. The reversal of 2073220480 is 840223702.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1646091 + ... + 1647349.

It is an arithmetic number, because the mean of its divisors is an integer number (40483800).

Almost surely, 22073220480 is an apocalyptic number.

2073220480 is a gapful number since it is divisible by the number (20) 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 2073220480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590963200).

2073220480 is an abundant number, since it is smaller than the sum of its proper divisors (3108705920).

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

2073220480 is a wasteful number, since it uses less digits than its factorization.

2073220480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1392 (or 1380 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 28.

The square root of 2073220480 is about 45532.6309365053. The cubic root of 2073220480 is about 1275.1124811697.

The spelling of 2073220480 in words is "two billion, seventy-three million, two hundred twenty thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 62 64 80 83 124 128 155 160 166 248 310 320 332 415 496 620 640 664 830 992 1240 1259 1328 1660 1984 2480 2518 2573 2656 3320 3968 4960 5036 5146 5312 6295 6640 9920 10072 10292 10624 12590 12865 13280 19840 20144 20584 25180 25730 26560 39029 40288 41168 50360 51460 53120 78058 80576 82336 100720 102920 104497 156116 161152 164672 195145 201440 205840 208994 312232 329344 390290 402880 411680 417988 522485 624464 780580 805760 823360 835976 1044970 1248928 1561160 1646720 1671952 2089940 2497856 3122320 3239407 3343904 4179880 4995712 6244640 6478814 6687808 8359760 12489280 12957628 13375616 16197035 16719520 24978560 25915256 32394070 33439040 51830512 64788140 66878080 103661024 129576280 207322048 259152560 414644096 518305120 1036610240 2073220480