Search a number
-
+
140045100 = 2235213149241
BaseRepresentation
bin10000101100011…
…10101100101100
3100202112000202120
420112032230230
5241322420400
621521352540
73320235516
oct1026165454
9322460676
10140045100
1172062a58
123aa98750
1323024a30
1414856bb6
15c464ca0
hex858eb2c

140045100 has 144 divisors (see below), whose sum is σ = 441117600. Its totient is φ = 34099200.

The previous prime is 140045093. The next prime is 140045123. The reversal of 140045100 is 1540041.

It is a super-2 number, since 2×1400451002 = 39225260068020000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 140045100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 580980 + ... + 581220.

Almost surely, 2140045100 is an apocalyptic number.

140045100 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 140045100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220558800).

140045100 is an abundant number, since it is smaller than the sum of its proper divisors (301072500).

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

140045100 is a wasteful number, since it uses less digits than its factorization.

140045100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 140045100 is about 11834.0652355816. The cubic root of 140045100 is about 519.3051616951.

Adding to 140045100 its reverse (1540041), we get a palindrome (141585141).

The spelling of 140045100 in words is "one hundred forty million, forty-five thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 149 150 156 195 241 260 298 300 325 390 447 482 596 650 723 745 780 894 964 975 1205 1300 1446 1490 1788 1937 1950 2235 2410 2892 2980 3133 3615 3725 3874 3900 4470 4820 5811 6025 6266 7230 7450 7748 8940 9399 9685 11175 11622 12050 12532 14460 14900 15665 18075 18798 19370 22350 23244 24100 29055 31330 35909 36150 37596 38740 44700 46995 48425 58110 62660 71818 72300 78325 93990 96850 107727 116220 143636 145275 156650 179545 187980 193700 215454 234975 290550 313300 359090 430908 466817 469950 538635 581100 718180 897725 933634 939900 1077270 1400451 1795450 1867268 2154540 2334085 2693175 2800902 3590900 4668170 5386350 5601804 7002255 9336340 10772700 11670425 14004510 23340850 28009020 35011275 46681700 70022550 140045100