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613361040 = 243519314339
BaseRepresentation
bin100100100011110…
…010010110010000
31120202010222011120
4210203302112100
52224010023130
6140510242240
721125324415
oct4443622620
91522128146
10613361040
11295254256
121514b6380
139a0c6236
145b66410c
1538cab910
hex248f2590

613361040 has 160 divisors (see below), whose sum is σ = 2066534400. Its totient is φ = 149921280.

The previous prime is 613361027. The next prime is 613361041. The reversal of 613361040 is 40163316.

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

It is a self number, because there is not a number n which added to its sum of digits gives 613361040.

It is not an unprimeable number, because it can be changed into a prime (613361041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 139191 + ... + 143529.

It is an arithmetic number, because the mean of its divisors is an integer number (12915840).

Almost surely, 2613361040 is an apocalyptic number.

613361040 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 613361040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1033267200).

613361040 is an abundant number, since it is smaller than the sum of its proper divisors (1453173360).

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

613361040 is a wasteful number, since it uses less digits than its factorization.

613361040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4405 (or 4399 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

The square root of 613361040 is about 24766.1268671547. The cubic root of 613361040 is about 849.6473923861.

The spelling of 613361040 in words is "six hundred thirteen million, three hundred sixty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 31 38 40 48 57 60 62 76 80 93 95 114 120 124 152 155 186 190 228 240 248 285 304 310 372 380 456 465 496 570 589 620 744 760 912 930 1140 1178 1240 1488 1520 1767 1860 2280 2356 2480 2945 3534 3720 4339 4560 4712 5890 7068 7440 8678 8835 9424 11780 13017 14136 17356 17670 21695 23560 26034 28272 34712 35340 43390 47120 52068 65085 69424 70680 82441 86780 104136 130170 134509 141360 164882 173560 208272 247323 260340 269018 329764 347120 403527 412205 494646 520680 538036 659528 672545 807054 824410 989292 1041360 1076072 1236615 1319056 1345090 1614108 1648820 1978584 2017635 2152144 2473230 2555671 2690180 3228216 3297640 3957168 4035270 4946460 5111342 5380360 6456432 6595280 7667013 8070540 9892920 10222684 10760720 12778355 15334026 16141080 19785840 20445368 25556710 30668052 32282160 38335065 40890736 51113420 61336104 76670130 102226840 122672208 153340260 204453680 306680520 613361040