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874380960 = 25335202403
BaseRepresentation
bin110100000111011…
…111111010100000
32020221022011012000
4310013133322200
53242320142320
6222433004000
730445054425
oct6407377240
92227264160
10874380960
114096243a2
122049b3600
1310c1c67ab
14841abd4c
1551b6ac90
hex341dfea0

874380960 has 96 divisors (see below), whose sum is σ = 3060348480. Its totient is φ = 233167104.

The previous prime is 874380917. The next prime is 874380967. The reversal of 874380960 is 69083478.

It is a happy number.

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 (45).

It is not an unprimeable number, because it can be changed into a prime (874380967) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 96882 + ... + 105521.

It is an arithmetic number, because the mean of its divisors is an integer number (31878630).

Almost surely, 2874380960 is an apocalyptic number.

874380960 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

874380960 is an abundant number, since it is smaller than the sum of its proper divisors (2185967520).

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

874380960 is a wasteful number, since it uses less digits than its factorization.

874380960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202427 (or 202413 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The square root of 874380960 is about 29569.9333783490. The cubic root of 874380960 is about 956.2399799027.

The spelling of 874380960 in words is "eight hundred seventy-four million, three hundred eighty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 202403 404806 607209 809612 1012015 1214418 1619224 1821627 2024030 2428836 3036045 3238448 3643254 4048060 4857672 5464881 6072090 6476896 7286508 8096120 9108135 9715344 10929762 12144180 14573016 16192240 18216270 19430688 21859524 24288360 27324405 29146032 32384480 36432540 43719048 48576720 54648810 58292064 72865080 87438096 97153440 109297620 145730160 174876192 218595240 291460320 437190480 874380960