Search a number
-
+
1601052960 = 253513256579
BaseRepresentation
bin101111101101110…
…0010000100100000
311010120122220202210
41133123202010200
511234332143320
6422512042120
754450503613
oct13733420440
94116586683
101601052960
11751830871
12388233340
131c6914120
141128ca17a
159585b0e0
hex5f6e2120

1601052960 has 96 divisors (see below), whose sum is σ = 5431285440. Its totient is φ = 394103808.

The previous prime is 1601052953. The next prime is 1601052983. The reversal of 1601052960 is 692501061.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 122050 + ... + 134529.

It is an arithmetic number, because the mean of its divisors is an integer number (56575890).

Almost surely, 21601052960 is an apocalyptic number.

1601052960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1601052960 is an abundant number, since it is smaller than the sum of its proper divisors (3830232480).

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

1601052960 is a wasteful number, since it uses less digits than its factorization.

1601052960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256610 (or 256602 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 30.

The square root of 1601052960 is about 40013.1598352342. The cubic root of 1601052960 is about 1169.8636118320.

The spelling of 1601052960 in words is "one billion, six hundred one million, fifty-two thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 256579 513158 769737 1026316 1282895 1539474 2052632 2565790 3078948 3335527 3848685 4105264 5131580 6157896 6671054 7697370 8210528 10006581 10263160 12315792 13342108 15394740 16677635 20013162 20526320 24631584 26684216 30789480 33355270 40026324 41052640 50032905 53368432 61578960 66710540 80052648 100065810 106736864 123157920 133421080 160105296 200131620 266842160 320210592 400263240 533684320 800526480 1601052960