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4010300240 = 245239532287
BaseRepresentation
bin1110111100001000…
…0101001101010000
3101100111002100201112
43233002011031100
531203114101430
61501534352452
7201243663302
oct35702051520
911314070645
104010300240
111778789a21
1293b05b728
134bbab9b2b
142a0875972
1518710c195
hexef085350

4010300240 has 80 divisors (see below), whose sum is σ = 9743804928. Its totient is φ = 1532095488.

The previous prime is 4010300219. The next prime is 4010300251. The reversal of 4010300240 is 420030104.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×40103002403 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1752377 + ... + 1754663.

Almost surely, 24010300240 is an apocalyptic number.

4010300240 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 4010300240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4871902464).

4010300240 is an abundant number, since it is smaller than the sum of its proper divisors (5733504688).

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

4010300240 is a wasteful number, since it uses less digits than its factorization.

4010300240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3270 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 4010300240 is about 63326.9313957340. The cubic root of 4010300240 is about 1588.7624350726.

Adding to 4010300240 its reverse (420030104), we get a palindrome (4430330344).

The spelling of 4010300240 in words is "four billion, ten million, three hundred thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 953 1840 1906 2287 3812 4574 4765 7624 9148 9530 11435 15248 18296 19060 21919 22870 36592 38120 43838 45740 52601 76240 87676 91480 105202 109595 175352 182960 210404 219190 263005 350704 420808 438380 526010 841616 876760 1052020 1753520 2104040 2179511 4208080 4359022 8718044 10897555 17436088 21795110 34872176 43590220 50128753 87180440 100257506 174360880 200515012 250643765 401030024 501287530 802060048 1002575060 2005150120 4010300240