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3820103904 = 2531571911327
BaseRepresentation
bin1110001110110010…
…0010100011100000
3100212020012101101210
43203230202203200
530310421311104
61431022030120
7163444230111
oct34354424340
910766171353
103820103904
111690392671
128a7418340
1348b585c16
142834c6208
1517558c989
hexe3b228e0

3820103904 has 96 divisors (see below), whose sum is σ = 10152124416. Its totient is φ = 1257684480.

The previous prime is 3820103873. The next prime is 3820103923. The reversal of 3820103904 is 4093010283.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

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, 2878089 + ... + 2879415.

It is an arithmetic number, because the mean of its divisors is an integer number (105751296).

Almost surely, 23820103904 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 3820103904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5076062208).

3820103904 is an abundant number, since it is smaller than the sum of its proper divisors (6332020512).

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

3820103904 is a wasteful number, since it uses less digits than its factorization.

3820103904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1688 (or 1680 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 30.

The square root of 3820103904 is about 61806.9891193545. The cubic root of 3820103904 is about 1563.2378378856.

The spelling of 3820103904 in words is "three billion, eight hundred twenty million, one hundred three thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 157 191 314 382 471 573 628 764 942 1146 1256 1327 1528 1884 2292 2512 2654 3056 3768 3981 4584 5024 5308 6112 7536 7962 9168 10616 15072 15924 18336 21232 29987 31848 42464 59974 63696 89961 119948 127392 179922 208339 239896 253457 359844 416678 479792 506914 625017 719688 760371 833356 959584 1013828 1250034 1439376 1520742 1666712 2027656 2500068 2878752 3041484 3333424 4055312 5000136 6082968 6666848 8110624 10000272 12165936 20000544 24331872 39792749 79585498 119378247 159170996 238756494 318341992 477512988 636683984 955025976 1273367968 1910051952 3820103904