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5374127200 = 2552131927197
BaseRepresentation
bin1010000000101001…
…01010110001100000
3111212112100221121011
411000110222301200
542001234032300
62245134110304
7250114220221
oct50024526140
914775327534
105374127200
112308611342
12105b94b394
13678511930
1438da4d248
15216c08eba
hex14052ac60

5374127200 has 144 divisors (see below), whose sum is σ = 14872954320. Its totient is φ = 1879787520.

The previous prime is 5374127191. The next prime is 5374127201. The reversal of 5374127200 is 27214735.

It is a super-3 number, since 3×53741272003 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5374127201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184002 + ... + 211198.

It is an arithmetic number, because the mean of its divisors is an integer number (103284405).

Almost surely, 25374127200 is an apocalyptic number.

5374127200 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 5374127200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7436477160).

5374127200 is an abundant number, since it is smaller than the sum of its proper divisors (9498827120).

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

5374127200 is a wasteful number, since it uses less digits than its factorization.

5374127200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27249 (or 27236 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 31.

The square root of 5374127200 is about 73308.4388048197. The cubic root of 5374127200 is about 1751.6042106166.

The spelling of 5374127200 in words is "five billion, three hundred seventy-four million, one hundred twenty-seven thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 19 20 25 26 32 38 40 50 52 65 76 80 95 100 104 130 152 160 190 200 208 247 260 304 325 380 400 416 475 494 520 608 650 760 800 950 988 1040 1235 1300 1520 1900 1976 2080 2470 2600 3040 3800 3952 4940 5200 6175 7600 7904 9880 10400 12350 15200 19760 24700 27197 39520 49400 54394 98800 108788 135985 197600 217576 271970 353561 435152 516743 543940 679925 707122 870304 1033486 1087880 1359850 1414244 1767805 2066972 2175760 2583715 2719700 2828488 3535610 4133944 4351520 5167430 5439400 5656976 6717659 7071220 8267888 8839025 10334860 10878800 11313952 12918575 13435318 14142440 16535776 17678050 20669720 21757600 25837150 26870636 28284880 33588295 35356100 41339440 51674300 53741272 56569760 67176590 70712200 82678880 103348600 107482544 134353180 141424400 167941475 206697200 214965088 268706360 282848800 335882950 413394400 537412720 671765900 1074825440 1343531800 2687063600 5374127200