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2606015040 = 263511324023
BaseRepresentation
bin1001101101010100…
…1010001001000000
320201121200021120120
42123111022021000
520314114440130
61110331540240
7121402522326
oct23325121100
96647607516
102606015040
111118033742
126088ba680
13326b9aa45
141aa169d16
15103bbc910
hex9b54a240

2606015040 has 112 divisors (see below), whose sum is σ = 8347667328. Its totient is φ = 688758784.

The previous prime is 2606015003. The next prime is 2606015057. The reversal of 2606015040 is 405106062.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2606015040.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96469 + ... + 120491.

It is an arithmetic number, because the mean of its divisors is an integer number (74532744).

Almost surely, 22606015040 is an apocalyptic number.

2606015040 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 2606015040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4173833664).

2606015040 is an abundant number, since it is smaller than the sum of its proper divisors (5741652288).

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

2606015040 is a wasteful number, since it uses less digits than its factorization.

2606015040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24156 (or 24146 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 2606015040 is about 51049.1433816475. The cubic root of 2606015040 is about 1376.1284470863.

The spelling of 2606015040 in words is "two billion, six hundred six million, fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 113 120 160 192 226 240 320 339 452 480 565 678 904 960 1130 1356 1695 1808 2260 2712 3390 3616 4520 5424 6780 7232 9040 10848 13560 18080 21696 24023 27120 36160 48046 54240 72069 96092 108480 120115 144138 192184 240230 288276 360345 384368 480460 576552 720690 768736 960920 1153104 1441380 1537472 1921840 2306208 2714599 2882760 3843680 4612416 5429198 5765520 7687360 8143797 10858396 11531040 13572995 16287594 21716792 23062080 27145990 32575188 40718985 43433584 54291980 65150376 81437970 86867168 108583960 130300752 162875940 173734336 217167920 260601504 325751880 434335840 521203008 651503760 868671680 1303007520 2606015040