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5330353400 = 235217712311
BaseRepresentation
bin1001111011011011…
…01011110011111000
3111202111000000020022
410331231223303320
541404032302100
62240531550012
7246043153631
oct47555536370
914674000208
105330353400
112295933449
12104915b308
1366c426488
14387cd6888
15212e5de85
hex13db6bcf8

5330353400 has 144 divisors (see below), whose sum is σ = 13352292720. Its totient is φ = 1972096000.

The previous prime is 5330353367. The next prime is 5330353421. The reversal of 5330353400 is 43530335.

It is a self number, because there is not a number n which added to its sum of digits gives 5330353400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 17139245 + ... + 17139555.

It is an arithmetic number, because the mean of its divisors is an integer number (92724255).

Almost surely, 25330353400 is an apocalyptic number.

5330353400 is a gapful number since it is divisible by the number (50) 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 5330353400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6676146360).

5330353400 is an abundant number, since it is smaller than the sum of its proper divisors (8021939320).

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

5330353400 is a wasteful number, since it uses less digits than its factorization.

5330353400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 26.

The square root of 5330353400 is about 73009.2692745243. The cubic root of 5330353400 is about 1746.8354674058.

Adding to 5330353400 its reverse (43530335), we get a palindrome (5373883735).

The spelling of 5330353400 in words is "five billion, three hundred thirty million, three hundred fifty-three thousand, four hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 71 85 100 136 142 170 200 284 311 340 355 425 568 622 680 710 850 1207 1244 1420 1555 1700 1775 2414 2488 2840 3110 3400 3550 4828 5041 5287 6035 6220 7100 7775 9656 10082 10574 12070 12440 14200 15550 20164 21148 22081 24140 25205 26435 30175 31100 40328 42296 44162 48280 50410 52870 60350 62200 85697 88324 100820 105740 110405 120700 126025 132175 171394 176648 201640 211480 220810 241400 252050 264350 342788 375377 428485 441620 504100 528700 552025 685576 750754 856970 883240 1008200 1057400 1104050 1501508 1567751 1713940 1876885 2142425 2208100 3003016 3135502 3427880 3753770 4284850 4416200 6271004 7507540 7838755 8569700 9384425 12542008 15015080 15677510 17139400 18768850 26651767 31355020 37537700 39193775 53303534 62710040 75075400 78387550 106607068 133258835 156775100 213214136 266517670 313550200 533035340 666294175 1066070680 1332588350 2665176700 5330353400