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2600000040 = 2335112385639
BaseRepresentation
bin1001101011111000…
…1101101000101000
320201012100200112210
42122332031220220
520311100000130
61105555005120
7121300431021
oct23276155050
96635320483
102600000040
1111146a5570
126068997a0
13325872c81
141a9441c48
151033d05b0
hex9af8da28

2600000040 has 128 divisors (see below), whose sum is σ = 8879155200. Its totient is φ = 602891520.

The previous prime is 2599999991. The next prime is 2600000041. The reversal of 2600000040 is 400000062.

2600000040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2599999971 and 2600000025.

It is not an unprimeable number, because it can be changed into a prime (2600000041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12460 + ... + 73179.

It is an arithmetic number, because the mean of its divisors is an integer number (69368400).

Almost surely, 22600000040 is an apocalyptic number.

2600000040 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 2600000040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4439577600).

2600000040 is an abundant number, since it is smaller than the sum of its proper divisors (6279155160).

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

2600000040 is a wasteful number, since it uses less digits than its factorization.

2600000040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85687 (or 85683 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 2600000040 is about 50990.1955281601. The cubic root of 2600000040 is about 1375.0688741258.

The spelling of 2600000040 in words is "two billion, six hundred million, forty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 85639 171278 256917 342556 428195 513834 685112 856390 942029 1027668 1284585 1712780 1884058 1969697 2055336 2569170 2826087 3425560 3768116 3939394 4710145 5138340 5652174 5909091 7536232 7878788 9420290 9848485 10276680 11304348 11818182 14130435 15757576 18840580 19696970 21666667 22608696 23636364 28260870 29545455 37681160 39393940 43333334 47272728 56521740 59090910 65000001 78787880 86666668 108333335 113043480 118181820 130000002 173333336 216666670 236363640 260000004 325000005 433333340 520000008 650000010 866666680 1300000020 2600000040