Search a number
-
+
78265920 = 263581527
BaseRepresentation
bin1001010101000…
…11111001000000
312110021022122210
410222203321000
5130014002140
611433302120
71640151345
oct452437100
9173238583
1078265920
11401a7387
1222264940
13132a3cc5
14a5747cc
156d0ed80
hex4aa3e40

78265920 has 56 divisors (see below), whose sum is σ = 248497344. Its totient is φ = 20870656.

The previous prime is 78265903. The next prime is 78265961. The reversal of 78265920 is 2956287.

It is a happy number.

It is a super-2 number, since 2×782659202 = 12251108466892800, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 39804 + ... + 41723.

Almost surely, 278265920 is an apocalyptic number.

It is an amenable number.

78265920 is an abundant number, since it is smaller than the sum of its proper divisors (170231424).

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

78265920 is a wasteful number, since it uses less digits than its factorization.

78265920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81547 (or 81537 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 39.

The square root of 78265920 is about 8846.8028123159. The cubic root of 78265920 is about 427.7508667441.

The spelling of 78265920 in words is "seventy-eight million, two hundred sixty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 81527 163054 244581 326108 407635 489162 652216 815270 978324 1222905 1304432 1630540 1956648 2445810 2608864 3261080 3913296 4891620 5217728 6522160 7826592 9783240 13044320 15653184 19566480 26088640 39132960 78265920