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2745004320 = 253256832791
BaseRepresentation
bin1010001110011101…
…0111000100100000
321002022012200000200
42203213113010200
521110210114240
61132214545200
7125011103022
oct24347270440
97068180020
102745004320
111189535413
12647368200
13349913016
141c07ca012
15110ec4930
hexa39d7120

2745004320 has 144 divisors (see below), whose sum is σ = 9384403392. Its totient is φ = 730667520.

The previous prime is 2745004307. The next prime is 2745004397. The reversal of 2745004320 is 234005472.

It is a tau number, because it is divible by the number of its divisors (144).

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, 982125 + ... + 984915.

It is an arithmetic number, because the mean of its divisors is an integer number (65169468).

Almost surely, 22745004320 is an apocalyptic number.

2745004320 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 2745004320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4692201696).

2745004320 is an abundant number, since it is smaller than the sum of its proper divisors (6639399072).

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

2745004320 is a wasteful number, since it uses less digits than its factorization.

2745004320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495 (or 3484 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 27.

The square root of 2745004320 is about 52392.7888167828. The cubic root of 2745004320 is about 1400.1707818871.

Adding to 2745004320 its reverse (234005472), we get a palindrome (2979009792).

The spelling of 2745004320 in words is "two billion, seven hundred forty-five million, four thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 683 720 1366 1440 2049 2732 2791 3415 4098 5464 5582 6147 6830 8196 8373 10245 10928 11164 12294 13660 13955 16392 16746 20490 21856 22328 24588 25119 27320 27910 30735 32784 33492 40980 41865 44656 49176 50238 54640 55820 61470 65568 66984 81960 83730 89312 98352 100476 109280 111640 122940 125595 133968 163920 167460 196704 200952 223280 245880 251190 267936 327840 334920 401904 446560 491760 502380 669840 803808 983520 1004760 1339680 1906253 2009520 3812506 4019040 5718759 7625012 9531265 11437518 15250024 17156277 19062530 22875036 28593795 30500048 34312554 38125060 45750072 57187590 61000096 68625108 76250120 85781385 91500144 114375180 137250216 152500240 171562770 183000288 228750360 274500432 305000480 343125540 457500720 549000864 686251080 915001440 1372502160 2745004320