Search a number
-
+
6905038104 = 2334172327253
BaseRepresentation
bin1100110111001001…
…01000010100011000
3122211020001021120000
412123210220110120
5103120142204404
63101102533000
7333053566266
oct63344502430
918736037500
106905038104
112a23794368
121408597160
13860737683
144970bb436
152a630c339
hex19b928518

6905038104 has 160 divisors (see below), whose sum is σ = 21369316320. Its totient is φ = 2072024064.

The previous prime is 6905038073. The next prime is 6905038109. The reversal of 6905038104 is 4018305096.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6905038109) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 239742 + ... + 266994.

It is an arithmetic number, because the mean of its divisors is an integer number (133558227).

Almost surely, 26905038104 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 6905038104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10684658160).

6905038104 is an abundant number, since it is smaller than the sum of its proper divisors (14464278216).

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

6905038104 is a wasteful number, since it uses less digits than its factorization.

6905038104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27311 (or 27298 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 6905038104 is about 83096.5589179239. The cubic root of 6905038104 is about 1904.2415034800.

The spelling of 6905038104 in words is "six billion, nine hundred five million, thirty-eight thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 17 18 23 24 27 34 36 46 51 54 68 69 72 81 92 102 108 136 138 153 162 184 204 207 216 276 306 324 391 408 414 459 552 612 621 648 782 828 918 1173 1224 1242 1377 1564 1656 1836 1863 2346 2484 2754 3128 3519 3672 3726 4692 4968 5508 7038 7452 9384 10557 11016 14076 14904 21114 27253 28152 31671 42228 54506 63342 81759 84456 109012 126684 163518 218024 245277 253368 327036 463301 490554 626819 654072 735831 926602 981108 1253638 1389903 1471662 1853204 1880457 1962216 2207493 2507276 2779806 2943324 3706408 3760914 4169709 4414986 5014552 5559612 5641371 5886648 7521828 8339418 8829972 10655923 11119224 11282742 12509127 15043656 16678836 16924113 17659944 21311846 22565484 25018254 31967769 33357672 33848226 37527381 42623692 45130968 50036508 50772339 63935538 67696452 75054762 85247384 95903307 100073016 101544678 127871076 135392904 150109524 191806614 203089356 255742152 287709921 300219048 383613228 406178712 575419842 767226456 863129763 1150839684 1726259526 2301679368 3452519052 6905038104