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140030240 = 2557253337
BaseRepresentation
bin10000101100010…
…11000100100000
3100202111021101012
420112023010200
5241321431430
621521200052
73320144300
oct1026130440
9322437335
10140030240
1172052879
123aa90028
132301b03c
1414851600
15c460695
hex858b120

140030240 has 144 divisors (see below), whose sum is σ = 393257592. Its totient is φ = 46964736.

The previous prime is 140030227. The next prime is 140030257. The reversal of 140030240 is 42030041.

It can be written as a sum of positive squares in 4 ways, for example, as 111429136 + 28601104 = 10556^2 + 5348^2 .

It is a super-2 number, since 2×1400302402 = 39216936228915200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 415352 + ... + 415688.

Almost surely, 2140030240 is an apocalyptic number.

140030240 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 140030240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196628796).

140030240 is an abundant number, since it is smaller than the sum of its proper divisors (253227352).

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

140030240 is a wasteful number, since it uses less digits than its factorization.

140030240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 140030240 is about 11833.4373704347. The cubic root of 140030240 is about 519.2867934512.

Adding to 140030240 its reverse (42030041), we get a palindrome (182060281).

The spelling of 140030240 in words is "one hundred forty million, thirty thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 53 56 70 80 98 106 112 140 160 196 212 224 245 265 280 337 371 392 424 490 530 560 674 742 784 848 980 1060 1120 1348 1484 1568 1685 1696 1855 1960 2120 2359 2597 2696 2968 3370 3710 3920 4240 4718 5194 5392 5936 6740 7420 7840 8480 9436 10388 10784 11795 11872 12985 13480 14840 16513 17861 18872 20776 23590 25970 26960 29680 33026 35722 37744 41552 47180 51940 53920 59360 66052 71444 75488 82565 83104 89305 94360 103880 125027 132104 142888 165130 178610 188720 207760 250054 264208 285776 330260 357220 377440 415520 500108 528416 571552 625135 660520 714440 875189 1000216 1250270 1321040 1428880 1750378 2000432 2500540 2642080 2857760 3500756 4000864 4375945 5001080 7001512 8751890 10002160 14003024 17503780 20004320 28006048 35007560 70015120 140030240