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2162342640 = 2435611271163
BaseRepresentation
bin1000000011100010…
…1011101011110000
312120200211101110110
42000320223223300
513412024431030
6554322301320
7104404415643
oct20070535360
95520741413
102162342640
11a0a64a037
125041b7840
13285ca81b3
14167277a5a
15c9c7e1b0
hex80e2baf0

2162342640 has 160 divisors (see below), whose sum is σ = 6872702976. Its totient is φ = 562222080.

The previous prime is 2162342627. The next prime is 2162342653. The reversal of 2162342640 is 462432612.

It is an interprime number because it is at equal distance from previous prime (2162342627) and next prime (2162342653).

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

It is a junction number, because it is equal to n+sod(n) for n = 2162342598 and 2162342607.

It is a congruent number.

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, 1858699 + ... + 1859861.

Almost surely, 22162342640 is an apocalyptic number.

2162342640 is a gapful number since it is divisible by the number (20) 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 2162342640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436351488).

2162342640 is an abundant number, since it is smaller than the sum of its proper divisors (4710360336).

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

2162342640 is a wasteful number, since it uses less digits than its factorization.

2162342640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1367 (or 1361 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 2162342640 is about 46500.9961183629. The cubic root of 2162342640 is about 1293.1279659982.

The spelling of 2162342640 in words is "two billion, one hundred sixty-two million, three hundred forty-two thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 61 80 120 122 127 183 240 244 254 305 366 381 488 508 610 635 732 762 915 976 1016 1163 1220 1270 1464 1524 1830 1905 2032 2326 2440 2540 2928 3048 3489 3660 3810 4652 4880 5080 5815 6096 6978 7320 7620 7747 9304 10160 11630 13956 14640 15240 15494 17445 18608 23241 23260 27912 30480 30988 34890 38735 46482 46520 55824 61976 69780 70943 77470 92964 93040 116205 123952 139560 141886 147701 154940 185928 212829 232410 279120 283772 295402 309880 354715 371856 425658 443103 464820 567544 590804 619760 709430 738505 851316 886206 929640 1064145 1135088 1181608 1418860 1477010 1702632 1772412 1859280 2128290 2215515 2363216 2837720 2954020 3405264 3544824 4256580 4431030 5675440 5908040 7089648 8513160 8862060 9009761 11816080 17026320 17724120 18019522 27029283 35448240 36039044 45048805 54058566 72078088 90097610 108117132 135146415 144156176 180195220 216234264 270292830 360390440 432468528 540585660 720780880 1081171320 2162342640