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4102472020 = 22519107163619
BaseRepresentation
bin1111010010000110…
…1100000101010100
3101120220112011122011
43310201230011110
531400213101040
61515030114004
7203443302553
oct36441540524
911526464564
104102472020
111815813a49
12965aab904
13504c1c44a
142acbc9d9a
151902673ea
hexf486c154

4102472020 has 96 divisors (see below), whose sum is σ = 9224409600. Its totient is φ = 1528170624.

The previous prime is 4102471951. The next prime is 4102472029. The reversal of 4102472020 is 202742014.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 4102471982 and 4102472000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4102472029) 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, 6627271 + ... + 6627889.

It is an arithmetic number, because the mean of its divisors is an integer number (96087600).

Almost surely, 24102472020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4102472020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4612204800).

4102472020 is an abundant number, since it is smaller than the sum of its proper divisors (5121937580).

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

4102472020 is a wasteful number, since it uses less digits than its factorization.

4102472020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917 (or 915 counting only the distinct ones).

The product of its (nonzero) digits is 896, while the sum is 22.

The square root of 4102472020 is about 64050.5426987157. The cubic root of 4102472020 is about 1600.8422674756.

The spelling of 4102472020 in words is "four billion, one hundred two million, four hundred seventy-two thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 107 163 190 214 326 380 428 535 619 652 815 1070 1238 1630 2033 2140 2476 3095 3097 3260 4066 6190 6194 8132 10165 11761 12380 12388 15485 17441 20330 23522 30970 34882 40660 47044 58805 61940 66233 69764 87205 100897 117610 132466 174410 201794 235220 264932 331165 331379 348820 403588 504485 662330 662758 1008970 1258427 1324660 1325516 1656895 1917043 2017940 2516854 3313790 3834086 5033708 6292135 6627580 7668172 9585215 10795979 12584270 19170430 21591958 25168540 38340860 43183916 53979895 107959790 205123601 215919580 410247202 820494404 1025618005 2051236010 4102472020