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2935240980 = 223576988669
BaseRepresentation
bin1010111011110100…
…0011100100010100
321120120011200122220
42232331003210110
522002410202410
61203132222340
7132511064610
oct25675034424
97516150586
102935240980
111276959aa1
1269b00a9b0
1337a15c3a9
141dbb8a340
15122a51070
hexaef43914

2935240980 has 48 divisors (see below), whose sum is σ = 9392772480. Its totient is φ = 670912128.

The previous prime is 2935240873. The next prime is 2935241009. The reversal of 2935240980 is 890425392.

2935240980 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×29352409802 = 17231279221342720800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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, 3493915 + ... + 3494754.

It is an arithmetic number, because the mean of its divisors is an integer number (195682760).

Almost surely, 22935240980 is an apocalyptic number.

2935240980 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2935240980 is an abundant number, since it is smaller than the sum of its proper divisors (6457531500).

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

2935240980 is a wasteful number, since it uses less digits than its factorization.

2935240980 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6988688 (or 6988686 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 42.

The square root of 2935240980 is about 54177.8642989921. The cubic root of 2935240980 is about 1431.7963601741.

The spelling of 2935240980 in words is "two billion, nine hundred thirty-five million, two hundred forty thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 6988669 13977338 20966007 27954676 34943345 41932014 48920683 69886690 83864028 97841366 104830035 139773380 146762049 195682732 209660070 244603415 293524098 419320140 489206830 587048196 733810245 978413660 1467620490 2935240980