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2752720080 = 2435113728181
BaseRepresentation
bin1010010000010011…
…0010110011010000
321002211201200001120
42210010302303100
521114144020310
61133052202240
7125133506655
oct24404626320
97084650046
102752720080
111192925380
12649a69380
1334b3b4c66
141c1837c2c
151119eab70
hexa4132cd0

2752720080 has 160 divisors (see below), whose sum is σ = 9561138048. Its totient is φ = 649267200.

The previous prime is 2752720073. The next prime is 2752720081. The reversal of 2752720080 is 800272572.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2752720081) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 83590 + ... + 111770.

Almost surely, 22752720080 is an apocalyptic number.

2752720080 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 2752720080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780569024).

2752720080 is an abundant number, since it is smaller than the sum of its proper divisors (6808417968).

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

2752720080 is a wasteful number, since it uses less digits than its factorization.

2752720080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28245 (or 28239 counting only the distinct ones).

The product of its (nonzero) digits is 15680, while the sum is 33.

The square root of 2752720080 is about 52466.3709436816. The cubic root of 2752720080 is about 1401.4814386352.

The spelling of 2752720080 in words is "two billion, seven hundred fifty-two million, seven hundred twenty thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 37 40 44 48 55 60 66 74 80 88 110 111 120 132 148 165 176 185 220 222 240 264 296 330 370 407 440 444 528 555 592 660 740 814 880 888 1110 1221 1320 1480 1628 1776 2035 2220 2442 2640 2960 3256 4070 4440 4884 6105 6512 8140 8880 9768 12210 16280 19536 24420 28181 32560 48840 56362 84543 97680 112724 140905 169086 225448 281810 309991 338172 422715 450896 563620 619982 676344 845430 929973 1042697 1127240 1239964 1352688 1549955 1690860 1859946 2085394 2254480 2479928 3099910 3128091 3381720 3719892 4170788 4649865 4959856 5213485 6199820 6256182 6763440 7439784 8341576 9299730 10426970 11469667 12399640 12512364 14879568 15640455 16683152 18599460 20853940 22939334 24799280 25024728 31280910 34409001 37198920 41707880 45878668 50049456 57348335 62561820 68818002 74397840 83415760 91757336 114696670 125123640 137636004 172045005 183514672 229393340 250247280 275272008 344090010 458786680 550544016 688180020 917573360 1376360040 2752720080