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30054765240 = 23325709117751
BaseRepresentation
bin11011111111011001…
…110101001010111000
32212120120100021011100
4123333121311022320
5443023004441430
621450145531400
72112533201163
oct337731651270
985516307140
1030054765240
1111823149a65
1259a9343b60
132aac82b476
141651822ada
15bad845960
hex6ff6752b8

30054765240 has 96 divisors (see below), whose sum is σ = 97816586400. Its totient is φ = 8003232000.

The previous prime is 30054765203. The next prime is 30054765241. The reversal of 30054765240 is 4256745003.

30054765240 is a `hidden beast` number, since 30 + 0 + 547 + 65 + 24 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 30054765195 and 30054765204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30054765241) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 196365 + ... + 314115.

It is an arithmetic number, because the mean of its divisors is an integer number (1018922775).

Almost surely, 230054765240 is an apocalyptic number.

30054765240 is a gapful number since it is divisible by the number (30) 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 30054765240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48908293200).

30054765240 is an abundant number, since it is smaller than the sum of its proper divisors (67761821160).

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

30054765240 is a wasteful number, since it uses less digits than its factorization.

30054765240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118477 (or 118470 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

The spelling of 30054765240 in words is "thirty billion, fifty-four million, seven hundred sixty-five thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 709 1418 2127 2836 3545 4254 5672 6381 7090 8508 10635 12762 14180 17016 21270 25524 28360 31905 42540 51048 63810 85080 117751 127620 235502 255240 353253 471004 588755 706506 942008 1059759 1177510 1413012 1766265 2119518 2355020 2826024 3532530 4239036 4710040 5298795 7065060 8478072 10597590 14130120 21195180 42390360 83485459 166970918 250456377 333941836 417427295 500912754 667883672 751369131 834854590 1001825508 1252281885 1502738262 1669709180 2003651016 2504563770 3005476524 3339418360 3756845655 5009127540 6010953048 7513691310 10018255080 15027382620 30054765240