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4061960320 = 27511252453
BaseRepresentation
bin1111001000011100…
…1001100010000000
3101111002021222000211
43302013021202000
531304330212240
61511021523504
7202442043625
oct36207114200
911432258024
104061960320
1117a4963a00
12954413594
134c9706a22
142a768234c
1518b913bea
hexf21c9880

4061960320 has 96 divisors (see below), whose sum is σ = 10673864460. Its totient is φ = 1477048320.

The previous prime is 4061960261. The next prime is 4061960321. The reversal of 4061960320 is 230691604.

It can be written as a sum of positive squares in 2 ways, for example, as 4003345984 + 58614336 = 63272^2 + 7656^2 .

It is not an unprimeable number, because it can be changed into a prime (4061960321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51214 + ... + 103666.

Almost surely, 24061960320 is an apocalyptic number.

4061960320 is a gapful number since it is divisible by the number (40) 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 4061960320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5336932230).

4061960320 is an abundant number, since it is smaller than the sum of its proper divisors (6611904140).

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

4061960320 is a wasteful number, since it uses less digits than its factorization.

4061960320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52494 (or 52471 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 31.

The square root of 4061960320 is about 63733.5101810657. The cubic root of 4061960320 is about 1595.5554149722. Note that the first 3 decimals are identical.

The spelling of 4061960320 in words is "four billion, sixty-one million, nine hundred sixty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 121 128 160 176 220 242 320 352 440 484 605 640 704 880 968 1210 1408 1760 1936 2420 3520 3872 4840 7040 7744 9680 15488 19360 38720 52453 77440 104906 209812 262265 419624 524530 576983 839248 1049060 1153966 1678496 2098120 2307932 2884915 3356992 4196240 4615864 5769830 6346813 6713984 8392480 9231728 11539660 12693626 16784960 18463456 23079320 25387252 31734065 33569920 36926912 46158640 50774504 63468130 73853824 92317280 101549008 126936260 184634560 203098016 253872520 369269120 406196032 507745040 812392064 1015490080 2030980160 4061960320