Search a number
-
+
3730132133 = 713318389179
BaseRepresentation
bin1101111001010101…
…0100110010100101
3100121221220100022222
43132111110302211
530114403212013
61414045402125
7161302412540
oct33625246245
910557810288
103730132133
111644620532
12881269345
13475a43aa0
14275585857
1516c719508
hexde554ca5

3730132133 has 64 divisors (see below), whose sum is σ = 4877107200. Its totient is φ = 2774407680.

The previous prime is 3730132123. The next prime is 3730132139. The reversal of 3730132133 is 3312310373.

It is a happy number.

It is not a de Polignac number, because 3730132133 - 216 = 3730066597 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3730132139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20838638 + ... + 20838816.

It is an arithmetic number, because the mean of its divisors is an integer number (76204800).

Almost surely, 23730132133 is an apocalyptic number.

It is an amenable number.

3730132133 is a deficient number, since it is larger than the sum of its proper divisors (1146975067).

3730132133 is a wasteful number, since it uses less digits than its factorization.

3730132133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402.

The product of its (nonzero) digits is 3402, while the sum is 26.

The square root of 3730132133 is about 61074.8076787803. The cubic root of 3730132133 is about 1550.8676561499.

The spelling of 3730132133 in words is "three billion, seven hundred thirty million, one hundred thirty-two thousand, one hundred thirty-three".

Divisors: 1 7 13 31 83 89 91 179 217 403 581 623 1079 1157 1253 2327 2573 2759 2821 5549 7387 7553 8099 14857 15931 16289 18011 19313 33449 35867 38843 51709 72137 96031 103999 111517 193141 207103 228997 234143 251069 460567 493861 504959 672217 1322273 1351987 1449721 1602979 2976961 3223969 3457027 5987371 6420193 9255911 17189549 20838727 40990463 41911597 44941351 120326843 286933241 532876019 3730132133