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1065401904 = 24373163397
BaseRepresentation
bin111111100000001…
…011111000110000
32202020202000122210
4333200023320300
54140220330104
6253415132120
735254524000
oct7740137060
92666660583
101065401904
114a7434246
12258974040
1313c958b38
14a16d4000
15637ee989
hex3f80be30

1065401904 has 160 divisors (see below), whose sum is σ = 3237491200. Its totient is φ = 301771008.

The previous prime is 1065401903. The next prime is 1065401957. The reversal of 1065401904 is 4091045601.

It is a happy number.

1065401904 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10654019042 = 2270162434093650432, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1065401903) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2683434 + ... + 2683830.

It is an arithmetic number, because the mean of its divisors is an integer number (20234320).

Almost surely, 21065401904 is an apocalyptic number.

1065401904 is a gapful number since it is divisible by the number (14) 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 1065401904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1618745600).

1065401904 is an abundant number, since it is smaller than the sum of its proper divisors (2172089296).

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

1065401904 is a wasteful number, since it uses less digits than its factorization.

1065401904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 572 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 1065401904 is about 32640.4948491900. The cubic root of 1065401904 is about 1021.3419169920.

The spelling of 1065401904 in words is "one billion, sixty-five million, four hundred one thousand, nine hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 163 168 196 294 326 336 343 392 397 489 588 652 686 784 794 978 1029 1141 1176 1191 1304 1372 1588 1956 2058 2282 2352 2382 2608 2744 2779 3176 3423 3912 4116 4564 4764 5488 5558 6352 6846 7824 7987 8232 8337 9128 9528 11116 13692 15974 16464 16674 18256 19056 19453 22232 23961 27384 31948 33348 38906 44464 47922 54768 55909 58359 63896 64711 66696 77812 95844 111818 116718 127792 129422 133392 136171 155624 167727 191688 194133 223636 233436 258844 272342 311248 335454 383376 388266 408513 447272 452977 466872 517688 544684 670908 776532 817026 894544 905954 933744 1035376 1089368 1341816 1358931 1553064 1634052 1811908 2178736 2683632 2717862 3106128 3170839 3268104 3623816 5435724 6341678 6536208 7247632 9512517 10871448 12683356 19025034 21742896 22195873 25366712 38050068 44391746 50733424 66587619 76100136 88783492 133175238 152200272 177566984 266350476 355133968 532700952 1065401904