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140101320 = 233529127317
BaseRepresentation
bin10000101100111…
…00011011001000
3100202121212212210
420112130123020
5241331220240
621522505120
73320561442
oct1026343310
9322555783
10140101320
11720a1217
123ab051a0
13230444b8
141486d492
15c476780
hex859c6c8

140101320 has 128 divisors (see below), whose sum is σ = 439603200. Its totient is φ = 35675136.

The previous prime is 140101319. The next prime is 140101333. The reversal of 140101320 is 23101041.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 140101296 and 140101305.

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, 441802 + ... + 442118.

It is an arithmetic number, because the mean of its divisors is an integer number (3434400).

Almost surely, 2140101320 is an apocalyptic number.

140101320 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 140101320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219801600).

140101320 is an abundant number, since it is smaller than the sum of its proper divisors (299501880).

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

140101320 is a wasteful number, since it uses less digits than its factorization.

140101320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 487 (or 483 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

The square root of 140101320 is about 11836.4403432789. The cubic root of 140101320 is about 519.3746427178.

Adding to 140101320 its reverse (23101041), we get a palindrome (163202361).

The spelling of 140101320 in words is "one hundred forty million, one hundred one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 29 30 40 58 60 87 116 120 127 145 174 232 254 290 317 348 381 435 508 580 634 635 696 762 870 951 1016 1160 1268 1270 1524 1585 1740 1902 1905 2536 2540 3048 3170 3480 3683 3804 3810 4755 5080 6340 7366 7608 7620 9193 9510 11049 12680 14732 15240 18386 18415 19020 22098 27579 29464 36772 36830 38040 40259 44196 45965 55158 55245 73544 73660 80518 88392 91930 110316 110490 120777 137895 147320 161036 183860 201295 220632 220980 241554 275790 322072 367720 402590 441960 483108 551580 603885 805180 966216 1103160 1167511 1207770 1610360 2335022 2415540 3502533 4670044 4831080 5837555 7005066 9340088 11675110 14010132 17512665 23350220 28020264 35025330 46700440 70050660 140101320