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40999140 = 223257132503
BaseRepresentation
bin1001110001100…
…1100011100100
32212010222020200
42130121203210
540443433030
64022430500
71005326010
oct234314344
985128220
1040999140
1121163296
1211892430
138656560
145633540
1538ecd60
hex27198e4

40999140 has 144 divisors (see below), whose sum is σ = 153124608. Its totient is φ = 8646912.

The previous prime is 40999129. The next prime is 40999171. The reversal of 40999140 is 4199904.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 40999095 and 40999104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15129 + ... + 17631.

Almost surely, 240999140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40999140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76562304).

40999140 is an abundant number, since it is smaller than the sum of its proper divisors (112125468).

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

40999140 is a wasteful number, since it uses less digits than its factorization.

40999140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2538 (or 2533 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The square root of 40999140 is about 6403.0570823631. The cubic root of 40999140 is about 344.8193130728.

The spelling of 40999140 in words is "forty million, nine hundred ninety-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 9 10 12 13 14 15 18 20 21 26 28 30 35 36 39 42 45 52 60 63 65 70 78 84 90 91 105 117 126 130 140 156 180 182 195 210 234 252 260 273 315 364 390 420 455 468 546 585 630 780 819 910 1092 1170 1260 1365 1638 1820 2340 2503 2730 3276 4095 5006 5460 7509 8190 10012 12515 15018 16380 17521 22527 25030 30036 32539 35042 37545 45054 50060 52563 65078 70084 75090 87605 90108 97617 105126 112635 130156 150180 157689 162695 175210 195234 210252 225270 227773 262815 292851 315378 325390 350420 390468 450540 455546 488085 525630 585702 630756 650780 683319 788445 911092 976170 1051260 1138865 1171404 1366638 1464255 1576890 1952340 2049957 2277730 2733276 2928510 3153780 3416595 4099914 4555460 5857020 6833190 8199828 10249785 13666380 20499570 40999140