Search a number
-
+
140485680 = 24325414759
BaseRepresentation
bin10000101111110…
…10010000110000
3100210100102010100
420113322100300
5241431020210
621535032400
73324052146
oct1027722060
9323312110
10140485680
1172333a75
123b06b700
132314a42a
141492d596
15c5005c0
hex85fa430

140485680 has 120 divisors (see below), whose sum is σ = 483406560. Its totient is φ = 36541440.

The previous prime is 140485673. The next prime is 140485729. The reversal of 140485680 is 86584041.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 27141 + ... + 31899.

It is an arithmetic number, because the mean of its divisors is an integer number (4028388).

Almost surely, 2140485680 is an apocalyptic number.

140485680 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 140485680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241703280).

140485680 is an abundant number, since it is smaller than the sum of its proper divisors (342920880).

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

140485680 is a wasteful number, since it uses less digits than its factorization.

140485680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4819 (or 4810 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 140485680 is about 11852.6655229952. The cubic root of 140485680 is about 519.8491672986.

The spelling of 140485680 in words is "one hundred forty million, four hundred eighty-five thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 41 45 48 60 72 80 82 90 120 123 144 164 180 205 240 246 328 360 369 410 492 615 656 720 738 820 984 1230 1476 1640 1845 1968 2460 2952 3280 3690 4759 4920 5904 7380 9518 9840 14277 14760 19036 23795 28554 29520 38072 42831 47590 57108 71385 76144 85662 95180 114216 142770 171324 190360 195119 214155 228432 285540 342648 380720 390238 428310 571080 585357 685296 780476 856620 975595 1142160 1170714 1560952 1713240 1756071 1951190 2341428 2926785 3121904 3426480 3512142 3902380 4682856 5853570 7024284 7804760 8780355 9365712 11707140 14048568 15609520 17560710 23414280 28097136 35121420 46828560 70242840 140485680