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5040741120 = 283510931201
BaseRepresentation
bin1001011000111001…
…11001101100000000
3111000022001011212120
410230130321230000
540310412203440
62152104324240
7235625410152
oct45434715400
914008034776
105040741120
112157404458
12b88173680
1362442486c
1435b668ad2
151e7802dd0
hex12c739b00

5040741120 has 144 divisors (see below), whose sum is σ = 16127012832. Its totient is φ = 1341849600.

The previous prime is 5040741107. The next prime is 5040741131. The reversal of 5040741120 is 211470405.

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

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, 4196520 + ... + 4197720.

Almost surely, 25040741120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5040741120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8063506416).

5040741120 is an abundant number, since it is smaller than the sum of its proper divisors (11086271712).

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

5040741120 is a wasteful number, since it uses less digits than its factorization.

5040741120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2318 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 5040741120 is about 70998.1768780016. The cubic root of 5040741120 is about 1714.6078112235.

The spelling of 5040741120 in words is "five billion, forty million, seven hundred forty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1093 1201 1280 1920 2186 2402 3279 3603 3840 4372 4804 5465 6005 6558 7206 8744 9608 10930 12010 13116 14412 16395 17488 18015 19216 21860 24020 26232 28824 32790 34976 36030 38432 43720 48040 52464 57648 65580 69952 72060 76864 87440 96080 104928 115296 131160 139904 144120 153728 174880 192160 209856 230592 262320 279808 288240 307456 349760 384320 419712 461184 524640 576480 699520 768640 839424 922368 1049280 1152960 1312693 1399040 1537280 2098560 2305920 2625386 3938079 4197120 4611840 5250772 6563465 7876158 10501544 13126930 15752316 19690395 21003088 26253860 31504632 39380790 42006176 52507720 63009264 78761580 84012352 105015440 126018528 157523160 168024704 210030880 252037056 315046320 336049408 420061760 504074112 630092640 840123520 1008148224 1260185280 1680247040 2520370560 5040741120