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240545640 = 233589101223
BaseRepresentation
bin11100101011001…
…10111101101000
3121202121222120210
432111212331220
5443034430030
635511421120
75650414146
oct1625467550
9552558523
10240545640
11113866555
12686847a0
133aab22ca
1423d38596
15161b7bb0
hexe566f68

240545640 has 128 divisors (see below), whose sum is σ = 740275200. Its totient is φ = 62515200.

The previous prime is 240545639. The next prime is 240545653. The reversal of 240545640 is 46545042.

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 = 240545598 and 240545607.

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, 1078569 + ... + 1078791.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2240545640 is an apocalyptic number.

240545640 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 240545640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370137600).

240545640 is an abundant number, since it is smaller than the sum of its proper divisors (499729560).

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

240545640 is a wasteful number, since it uses less digits than its factorization.

240545640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 427 (or 423 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

The square root of 240545640 is about 15509.5338421243. The cubic root of 240545640 is about 621.9170976106.

The spelling of 240545640 in words is "two hundred forty million, five hundred forty-five thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 89 101 120 178 202 223 267 303 356 404 445 446 505 534 606 669 712 808 890 892 1010 1068 1115 1212 1335 1338 1515 1780 1784 2020 2136 2230 2424 2670 2676 3030 3345 3560 4040 4460 5340 5352 6060 6690 8920 8989 10680 12120 13380 17978 19847 22523 26760 26967 35956 39694 44945 45046 53934 59541 67569 71912 79388 89890 90092 99235 107868 112615 119082 134835 135138 158776 179780 180184 198470 215736 225230 238164 269670 270276 297705 337845 359560 396940 450460 476328 539340 540552 595410 675690 793880 900920 1078680 1190820 1351380 2004547 2381640 2702760 4009094 6013641 8018188 10022735 12027282 16036376 20045470 24054564 30068205 40090940 48109128 60136410 80181880 120272820 240545640