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20032706720 = 2551373131933
BaseRepresentation
bin10010101010000010…
…101101100010100000
31220201010001221102202
4102222002231202200
5312011333103340
613111454232332
71306300124525
oct225202554240
956633057382
1020032706720
11854aa39074
123a70ab56a8
131b733b9920
14d8079b14c
157c3a7bc15
hex4aa0ad8a0

20032706720 has 96 divisors (see below), whose sum is σ = 51666409872. Its totient is φ = 7295311872.

The previous prime is 20032706713. The next prime is 20032706737. The reversal of 20032706720 is 2760723002.

It can be written as a sum of positive squares in 8 ways, for example, as 5849802256 + 14182904464 = 76484^2 + 119092^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85874 + ... + 217806.

Almost surely, 220032706720 is an apocalyptic number.

20032706720 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 20032706720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25833204936).

20032706720 is an abundant number, since it is smaller than the sum of its proper divisors (31633703152).

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

20032706720 is a wasteful number, since it uses less digits than its factorization.

20032706720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132034 (or 132026 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 29.

The spelling of 20032706720 in words is "twenty billion, thirty-two million, seven hundred six thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 65 73 80 104 130 146 160 208 260 292 365 416 520 584 730 949 1040 1168 1460 1898 2080 2336 2920 3796 4745 5840 7592 9490 11680 15184 18980 30368 37960 75920 131933 151840 263866 527732 659665 1055464 1319330 1715129 2110928 2638660 3430258 4221856 5277320 6860516 8575645 9631109 10554640 13721032 17151290 19262218 21109280 27442064 34302580 38524436 48155545 54884128 68605160 77048872 96311090 125204417 137210320 154097744 192622180 250408834 274420640 308195488 385244360 500817668 626022085 770488720 1001635336 1252044170 1540977440 2003270672 2504088340 4006541344 5008176680 10016353360 20032706720