Search a number
-
+
1146010656 = 25377921587
BaseRepresentation
bin100010001001110…
…1011110000100000
32221212102101002010
41010103223300200
54321334320111
6305414552520
740253633640
oct10423536040
92855371063
101146010656
1153899084a
1227b968740
1315357031b
14ac2b8520
156a923aa6
hex444ebc20

1146010656 has 96 divisors (see below), whose sum is σ = 3481712640. Its totient is φ = 323271936.

The previous prime is 1146010633. The next prime is 1146010693. The reversal of 1146010656 is 6560106411.

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

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, 42295 + ... + 63881.

It is an arithmetic number, because the mean of its divisors is an integer number (36267840).

Almost surely, 21146010656 is an apocalyptic number.

1146010656 is a gapful number since it is divisible by the number (16) 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 1146010656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740856320).

1146010656 is an abundant number, since it is smaller than the sum of its proper divisors (2335701984).

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

1146010656 is a wasteful number, since it uses less digits than its factorization.

1146010656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21686 (or 21678 counting only the distinct ones).

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

The square root of 1146010656 is about 33852.7791473610. The cubic root of 1146010656 is about 1046.4766730658.

The spelling of 1146010656 in words is "one billion, one hundred forty-six million, ten thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 79 84 96 112 158 168 224 237 316 336 474 553 632 672 948 1106 1264 1659 1896 2212 2528 3318 3792 4424 6636 7584 8848 13272 17696 21587 26544 43174 53088 64761 86348 129522 151109 172696 259044 302218 345392 453327 518088 604436 690784 906654 1036176 1208872 1705373 1813308 2072352 2417744 3410746 3626616 4835488 5116119 6821492 7253232 10232238 11937611 13642984 14506464 20464476 23875222 27285968 35812833 40928952 47750444 54571936 71625666 81857904 95500888 143251332 163715808 191001776 286502664 382003552 573005328 1146010656