Search a number
-
+
1920296352 = 253136432393
BaseRepresentation
bin111001001110101…
…0110010110100000
311221211101011101010
41302131112112200
512413043440402
6514314340520
765405151432
oct16235262640
94854334333
101920296352
118a5a59087
1245712a740
13247abbb40
1414306c652
15b38bba6c
hex727565a0

1920296352 has 96 divisors (see below), whose sum is σ = 5439244608. Its totient is φ = 589694976.

The previous prime is 1920296347. The next prime is 1920296419. The reversal of 1920296352 is 2536920291.

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

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 1920296352.

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, 801268 + ... + 803660.

It is an arithmetic number, because the mean of its divisors is an integer number (56658798).

Almost surely, 21920296352 is an apocalyptic number.

1920296352 is a gapful number since it is divisible by the number (12) 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 1920296352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2719622304).

1920296352 is an abundant number, since it is smaller than the sum of its proper divisors (3518948256).

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

1920296352 is a wasteful number, since it uses less digits than its factorization.

1920296352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3062 (or 3054 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 39.

The square root of 1920296352 is about 43821.1861090044. The cubic root of 1920296352 is about 1242.9569459367.

The spelling of 1920296352 in words is "one billion, nine hundred twenty million, two hundred ninety-six thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 643 1248 1286 1929 2393 2572 3858 4786 5144 7179 7716 8359 9572 10288 14358 15432 16718 19144 20576 25077 28716 30864 31109 33436 38288 50154 57432 61728 62218 66872 76576 93327 100308 114864 124436 133744 186654 200616 229728 248872 267488 373308 401232 497744 746616 802464 995488 1493232 1538699 2986464 3077398 4616097 6154796 9232194 12309592 18464388 20003087 24619184 36928776 40006174 49238368 60009261 73857552 80012348 120018522 147715104 160024696 240037044 320049392 480074088 640098784 960148176 1920296352