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2731074240 = 26357936011
BaseRepresentation
bin1010001011001000…
…1110001011000000
321001022222221112210
42202302032023000
521043123333430
61131000222120
7124451514366
oct24262161300
97038887483
102731074240
111181690554
1264276a940
13346a7667b
141bca01636
1510eb722b0
hexa2c8e2c0

2731074240 has 112 divisors (see below), whose sum is σ = 8781166080. Its totient is φ = 719047680.

The previous prime is 2731074197. The next prime is 2731074253. The reversal of 2731074240 is 424701372.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2731074198 and 2731074207.

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, 57835 + ... + 93845.

Almost surely, 22731074240 is an apocalyptic number.

2731074240 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 2731074240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4390583040).

2731074240 is an abundant number, since it is smaller than the sum of its proper divisors (6050091840).

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

2731074240 is a wasteful number, since it uses less digits than its factorization.

2731074240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36110 (or 36100 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 30.

The square root of 2731074240 is about 52259.6808256614. The cubic root of 2731074240 is about 1397.7982807634.

The spelling of 2731074240 in words is "two billion, seven hundred thirty-one million, seventy-four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 79 80 96 120 158 160 192 237 240 316 320 395 474 480 632 790 948 960 1185 1264 1580 1896 2370 2528 3160 3792 4740 5056 6320 7584 9480 12640 15168 18960 25280 36011 37920 72022 75840 108033 144044 180055 216066 288088 360110 432132 540165 576176 720220 864264 1080330 1152352 1440440 1728528 2160660 2304704 2844869 2880880 3457056 4321320 5689738 5761760 6914112 8534607 8642640 11379476 11523520 14224345 17069214 17285280 22758952 28448690 34138428 34570560 42673035 45517904 56897380 68276856 85346070 91035808 113794760 136553712 170692140 182071616 227589520 273107424 341384280 455179040 546214848 682768560 910358080 1365537120 2731074240