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4967140240 = 2451713032803
BaseRepresentation
bin1001010000001000…
…01000101110010000
3110211011112212110001
410220010020232100
540133041441430
62140515015344
7234042665266
oct45004105620
913734485401
104967140240
112119903a87
12b6759a554
136120c504a
1435198a436
151e11153ca
hex128108b90

4967140240 has 80 divisors (see below), whose sum is σ = 12241680768. Its totient is φ = 1867880448.

The previous prime is 4967140219. The next prime is 4967140249. The reversal of 4967140240 is 420417694.

It is a happy number.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4967140240.

It is not an unprimeable number, because it can be changed into a prime (4967140249) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1770679 + ... + 1773481.

Almost surely, 24967140240 is an apocalyptic number.

4967140240 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 4967140240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6120840384).

4967140240 is an abundant number, since it is smaller than the sum of its proper divisors (7274540528).

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

4967140240 is a wasteful number, since it uses less digits than its factorization.

4967140240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4136 (or 4130 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The square root of 4967140240 is about 70477.9415136396. The cubic root of 4967140240 is about 1706.2217505464.

The spelling of 4967140240 in words is "four billion, nine hundred sixty-seven million, one hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1303 1360 2606 2803 5212 5606 6515 10424 11212 13030 14015 20848 22151 22424 26060 28030 44302 44848 47651 52120 56060 88604 95302 104240 110755 112120 177208 190604 221510 224240 238255 354416 381208 443020 476510 762416 886040 953020 1772080 1906040 3652309 3812080 7304618 14609236 18261545 29218472 36523090 58436944 62089253 73046180 124178506 146092360 248357012 292184720 310446265 496714024 620892530 993428048 1241785060 2483570120 4967140240