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4010413120 = 26571790363
BaseRepresentation
bin1110111100001010…
…0000110001000000
3101100111022002120021
43233002200301000
531203131204440
61501541023224
7201244643350
oct35702406100
911314262507
104010413120
11177885680a
1293b0b4b14
134bbb2931c
142a08a4b60
1518713084a
hexef0a0c40

4010413120 has 56 divisors (see below), whose sum is σ = 10914058944. Its totient is φ = 1374998016.

The previous prime is 4010413111. The next prime is 4010413123. The reversal of 4010413120 is 213140104.

It is a tau number, because it is divible by the number of its divisors (56).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 4010413094 and 4010413103.

It is not an unprimeable number, because it can be changed into a prime (4010413123) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892942 + ... + 897421.

Almost surely, 24010413120 is an apocalyptic number.

4010413120 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4010413120 is an abundant number, since it is smaller than the sum of its proper divisors (6903645824).

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

4010413120 is a wasteful number, since it uses less digits than its factorization.

4010413120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790387 (or 1790377 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 4010413120 is about 63327.8226374474. The cubic root of 4010413120 is about 1588.7773415061. Note that the first 3 decimals are identical.

Adding to 4010413120 its reverse (213140104), we get a palindrome (4223553224).

The spelling of 4010413120 in words is "four billion, ten million, four hundred thirteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 140 160 224 280 320 448 560 1120 2240 1790363 3580726 7161452 8951815 12532541 14322904 17903630 25065082 28645808 35807260 50130164 57291616 62662705 71614520 100260328 114583232 125325410 143229040 200520656 250650820 286458080 401041312 501301640 572916160 802082624 1002603280 2005206560 4010413120