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2714158920 = 23351110391979
BaseRepresentation
bin1010000111000110…
…1100011101001000
321000011011120002110
42201301230131020
521024311041140
61125153502320
7124154653524
oct24161543510
97004146073
102714158920
111173087850
12638b719a0
133434032c5
141ba67ad84
1510d430380
hexa1c6c748

2714158920 has 128 divisors (see below), whose sum is σ = 8895744000. Its totient is φ = 657012480.

The previous prime is 2714158891. The next prime is 2714158927. The reversal of 2714158920 is 298514172.

It is not an unprimeable number, because it can be changed into a prime (2714158927) 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, 1370491 + ... + 1372469.

It is an arithmetic number, because the mean of its divisors is an integer number (69498000).

Almost surely, 22714158920 is an apocalyptic number.

2714158920 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 2714158920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4447872000).

2714158920 is an abundant number, since it is smaller than the sum of its proper divisors (6181585080).

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

2714158920 is a wasteful number, since it uses less digits than its factorization.

2714158920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3043 (or 3039 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

The square root of 2714158920 is about 52097.5903473472. The cubic root of 2714158920 is about 1394.9064774599.

The spelling of 2714158920 in words is "two billion, seven hundred fourteen million, one hundred fifty-eight thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1039 1320 1979 2078 3117 3958 4156 5195 5937 6234 7916 8312 9895 10390 11429 11874 12468 15585 15832 19790 20780 21769 22858 23748 24936 29685 31170 34287 39580 41560 43538 45716 47496 57145 59370 62340 65307 68574 79160 87076 91432 108845 114290 118740 124680 130614 137148 171435 174152 217690 228580 237480 261228 274296 326535 342870 435380 457160 522456 653070 685740 870760 1306140 1371480 2056181 2612280 4112362 6168543 8224724 10280905 12337086 16449448 20561810 22617991 24674172 30842715 41123620 45235982 49348344 61685430 67853973 82247240 90471964 113089955 123370860 135707946 180943928 226179910 246741720 271415892 339269865 452359820 542831784 678539730 904719640 1357079460 2714158920