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613312680 = 233531173953
BaseRepresentation
bin100100100011100…
…110100010101000
31120202001111211110
4210203212202220
52224002001210
6140505230320
721125033421
oct4443464250
91522044743
10613312680
11295220992
121514923a0
139a0aa216
145b650648
1538c9c420
hex248e68a8

613312680 has 128 divisors (see below), whose sum is σ = 1912273920. Its totient is φ = 157194240.

The previous prime is 613312673. The next prime is 613312691. The reversal of 613312680 is 86213316.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 643084 + ... + 644036.

It is an arithmetic number, because the mean of its divisors is an integer number (14939640).

Almost surely, 2613312680 is an apocalyptic number.

613312680 is a gapful number since it is divisible by the number (60) 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 613312680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (956136960).

613312680 is an abundant number, since it is smaller than the sum of its proper divisors (1298961240).

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

613312680 is a wasteful number, since it uses less digits than its factorization.

613312680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1171 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 613312680 is about 24765.1505143821. The cubic root of 613312680 is about 849.6250618580.

Adding to 613312680 its reverse (86213316), we get a palindrome (699525996).

The spelling of 613312680 in words is "six hundred thirteen million, three hundred twelve thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 173 186 248 310 346 372 465 519 620 692 744 865 930 953 1038 1240 1384 1730 1860 1906 2076 2595 2859 3460 3720 3812 4152 4765 5190 5363 5718 6920 7624 9530 10380 10726 11436 14295 16089 19060 20760 21452 22872 26815 28590 29543 32178 38120 42904 53630 57180 59086 64356 80445 88629 107260 114360 118172 128712 147715 160890 164869 177258 214520 236344 295430 321780 329738 354516 443145 494607 590860 643560 659476 709032 824345 886290 989214 1181720 1318952 1648690 1772580 1978428 2473035 3297380 3545160 3956856 4946070 5110939 6594760 9892140 10221878 15332817 19784280 20443756 25554695 30665634 40887512 51109390 61331268 76664085 102218780 122662536 153328170 204437560 306656340 613312680