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4020113600 = 26525347407
BaseRepresentation
bin1110111110011110…
…0001000011000000
3101101011112221010022
43233213201003000
531213122113400
61502524553012
7201423254546
oct35747410300
911334487108
104020113600
111783281938
129423b2768
134c0b44759
142a1cabd96
15187de9b85
hexef9e10c0

4020113600 has 84 divisors (see below), whose sum is σ = 10078845984. Its totient is φ = 1577671680.

The previous prime is 4020113599. The next prime is 4020113611. The reversal of 4020113600 is 63110204.

It is a super-2 number, since 2×40201136002 = 32322626713809920000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61097 + ... + 108503.

Almost surely, 24020113600 is an apocalyptic number.

4020113600 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 4020113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5039422992).

4020113600 is an abundant number, since it is smaller than the sum of its proper divisors (6058732384).

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

4020113600 is a wasteful number, since it uses less digits than its factorization.

4020113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47482 (or 47467 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 4020113600 is about 63404.3657802836. The cubic root of 4020113600 is about 1590.0573005206.

Adding to 4020113600 its reverse (63110204), we get a palindrome (4083223804).

The spelling of 4020113600 in words is "four billion, twenty million, one hundred thirteen thousand, six hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 53 64 80 100 106 160 200 212 265 320 400 424 530 800 848 1060 1325 1600 1696 2120 2650 3392 4240 5300 8480 10600 16960 21200 42400 47407 84800 94814 189628 237035 379256 474070 758512 948140 1185175 1517024 1896280 2370350 2512571 3034048 3792560 4740700 5025142 7585120 9481400 10050284 12562855 15170240 18962800 20100568 25125710 37925600 40201136 50251420 62814275 75851200 80402272 100502840 125628550 160804544 201005680 251257100 402011360 502514200 804022720 1005028400 2010056800 4020113600