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2170113792 = 28371136697
BaseRepresentation
bin1000000101011001…
…0100111100000000
312121020110012110220
42001112110330000
513421022120132
6555201023040
7104530443240
oct20126247400
95536405426
102170113792
11a13a77680
12506924a80
13287799402
141682dbb20
15ca7b6a2c
hex81594f00

2170113792 has 144 divisors (see below), whose sum is σ = 7201028352. Its totient is φ = 563650560.

The previous prime is 2170113791. The next prime is 2170113797. The reversal of 2170113792 is 2973110712.

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 (2170113791) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 40788 + ... + 77484.

Almost surely, 22170113792 is an apocalyptic number.

2170113792 is a gapful number since it is divisible by the number (22) 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 2170113792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3600514176).

2170113792 is an abundant number, since it is smaller than the sum of its proper divisors (5030914560).

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

2170113792 is a wasteful number, since it uses less digits than its factorization.

2170113792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36734 (or 36720 counting only the distinct ones).

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 2170113792 is about 46584.4801623888. The cubic root of 2170113792 is about 1294.6752199553.

The spelling of 2170113792 in words is "two billion, one hundred seventy million, one hundred thirteen thousand, seven hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 32 33 42 44 48 56 64 66 77 84 88 96 112 128 132 154 168 176 192 224 231 256 264 308 336 352 384 448 462 528 616 672 704 768 896 924 1056 1232 1344 1408 1792 1848 2112 2464 2688 2816 3696 4224 4928 5376 7392 8448 9856 14784 19712 29568 36697 59136 73394 110091 146788 220182 256879 293576 403667 440364 513758 587152 770637 807334 880728 1027516 1174304 1211001 1541274 1614668 1761456 2055032 2348608 2422002 2825669 3082548 3229336 3522912 4110064 4697216 4844004 5651338 6165096 6458672 7045824 8220128 8477007 9394432 9688008 11302676 12330192 12917344 14091648 16440256 16954014 19376016 22605352 24660384 25834688 28183296 32880512 33908028 38752032 45210704 49320768 51669376 65761024 67816056 77504064 90421408 98641536 103338752 135632112 155008128 180842816 197283072 271264224 310016256 361685632 542528448 723371264 1085056896 2170113792