Search a number
-
+
1832117040 = 2432513195739
BaseRepresentation
bin110110100110011…
…1110001100110000
311201200110012002200
41231030332030300
512223010221130
6501444343200
763254511045
oct15514761460
94650405080
101832117040
11860200716
124316a4b00
13232756830
141354771cc
15aac9e760
hex6d33e330

1832117040 has 120 divisors (see below), whose sum is σ = 6626190480. Its totient is φ = 450980352.

The previous prime is 1832116997. The next prime is 1832117059. The reversal of 1832117040 is 407112381.

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

It is a junction number, because it is equal to n+sod(n) for n = 1832116995 and 1832117013.

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, 88510 + ... + 107229.

It is an arithmetic number, because the mean of its divisors is an integer number (55218254).

Almost surely, 21832117040 is an apocalyptic number.

1832117040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1832117040 is an abundant number, since it is smaller than the sum of its proper divisors (4794073440).

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

1832117040 is a wasteful number, since it uses less digits than its factorization.

1832117040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195771 (or 195762 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 1832117040 is about 42803.2363262406. The cubic root of 1832117040 is about 1223.6326912724.

The spelling of 1832117040 in words is "one billion, eight hundred thirty-two million, one hundred seventeen thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 16 18 20 24 26 30 36 39 40 45 48 52 60 65 72 78 80 90 104 117 120 130 144 156 180 195 208 234 240 260 312 360 390 468 520 585 624 720 780 936 1040 1170 1560 1872 2340 3120 4680 9360 195739 391478 587217 782956 978695 1174434 1565912 1761651 1957390 2348868 2544607 2936085 3131824 3523302 3914780 4697736 5089214 5872170 7046604 7633821 7829560 8808255 9395472 10178428 11744340 12723035 14093208 15267642 15659120 17616510 20356856 22901463 23488680 25446070 28186416 30535284 35233020 38169105 40713712 45802926 46977360 50892140 61070568 70466040 76338210 91605852 101784280 114507315 122141136 140932080 152676420 183211704 203568560 229014630 305352840 366423408 458029260 610705680 916058520 1832117040