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1312689240 = 233453791069
BaseRepresentation
bin100111000111110…
…0000110001011000
310101111001112010000
41032033200301120
510142022023430
6334131253000
744346450222
oct11617406130
93344045100
101312689240
11613a84945
1230774a160
1317bc5b8c5
14c64a5412
157a399e60
hex4e3e0c58

1312689240 has 160 divisors (see below), whose sum is σ = 4427874000. Its totient is φ = 348800256.

The previous prime is 1312689211. The next prime is 1312689241. The reversal of 1312689240 is 429862131.

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 = 1312689195 and 1312689204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1312689241) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1227426 + ... + 1228494.

Almost surely, 21312689240 is an apocalyptic number.

1312689240 is a gapful number since it is divisible by the number (10) 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 1312689240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2213937000).

1312689240 is an abundant number, since it is smaller than the sum of its proper divisors (3115184760).

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

1312689240 is a wasteful number, since it uses less digits than its factorization.

1312689240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1458 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 1312689240 is about 36231.0535314666. The cubic root of 1312689240 is about 1094.9324034084.

The spelling of 1312689240 in words is "one billion, three hundred twelve million, six hundred eighty-nine thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 379 405 540 648 758 810 1069 1080 1137 1516 1620 1895 2138 2274 3032 3207 3240 3411 3790 4276 4548 5345 5685 6414 6822 7580 8552 9096 9621 10233 10690 11370 12828 13644 15160 16035 17055 19242 20466 21380 22740 25656 27288 28863 30699 32070 34110 38484 40932 42760 45480 48105 51165 57726 61398 64140 68220 76968 81864 86589 96210 102330 115452 122796 128280 136440 144315 153495 173178 192420 204660 230904 245592 288630 306990 346356 384840 405151 409320 432945 577260 613980 692712 810302 865890 1154520 1215453 1227960 1620604 1731780 2025755 2430906 3241208 3463560 3646359 4051510 4861812 6077265 7292718 8103020 9723624 10939077 12154530 14585436 16206040 18231795 21878154 24309060 29170872 32817231 36463590 43756308 48618120 54695385 65634462 72927180 87512616 109390770 131268924 145854360 164086155 218781540 262537848 328172310 437563080 656344620 1312689240