Search a number
-
+
60400047120 = 2435735952409
BaseRepresentation
bin111000010000000111…
…111001010000010000
312202220101100022020020
4320100013321100100
51442144403001440
643425234343440
74235524633560
oct702007712020
9182811308206
1060400047120
1123685285416
12b857a2ab80
1359075b706a
142ccda6ada0
1518879253d0
hexe101f9410

60400047120 has 80 divisors (see below), whose sum is σ = 213988744320. Its totient is φ = 13805724672.

The previous prime is 60400047101. The next prime is 60400047151. The reversal of 60400047120 is 2174000406.

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

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17974525 + ... + 17977884.

It is an arithmetic number, because the mean of its divisors is an integer number (2674859304).

Almost surely, 260400047120 is an apocalyptic number.

60400047120 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

60400047120 is an abundant number, since it is smaller than the sum of its proper divisors (153588697200).

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

60400047120 is a wasteful number, since it uses less digits than its factorization.

60400047120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35952432 (or 35952426 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 24.

Adding to 60400047120 its reverse (2174000406), we get a palindrome (62574047526).

The spelling of 60400047120 in words is "sixty billion, four hundred million, forty-seven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 840 1680 35952409 71904818 107857227 143809636 179762045 215714454 251666863 287619272 359524090 431428908 503333726 539286135 575238544 719048180 755000589 862857816 1006667452 1078572270 1258334315 1438096360 1510001178 1725715632 2013334904 2157144540 2516668630 2876192720 3020002356 3775002945 4026669808 4314289080 5033337260 6040004712 7550005890 8628578160 10066674520 12080009424 15100011780 20133349040 30200023560 60400047120