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195080480 = 2557237573
BaseRepresentation
bin10111010000010…
…11000100100000
3111121002010002222
423220023010200
5344420033410
631205130212
74556104520
oct1350130440
9447063088
10195080480
11a0132941
12553b9968
133155404a
141bca1680
15121d6955
hexba0b120

195080480 has 96 divisors (see below), whose sum is σ = 549690624. Its totient is φ = 63968256.

The previous prime is 195080453. The next prime is 195080497. The reversal of 195080480 is 84080591.

195080480 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 195080480.

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, 21974 + ... + 29546.

It is an arithmetic number, because the mean of its divisors is an integer number (5725944).

Almost surely, 2195080480 is an apocalyptic number.

195080480 is a gapful number since it is divisible by the number (10) 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 195080480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274845312).

195080480 is an abundant number, since it is smaller than the sum of its proper divisors (354610144).

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

195080480 is a wasteful number, since it uses less digits than its factorization.

195080480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7618 (or 7610 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 35.

The square root of 195080480 is about 13967.1213927566. The cubic root of 195080480 is about 579.9687656585.

The spelling of 195080480 in words is "one hundred ninety-five million, eighty thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 32 35 40 46 56 70 80 92 112 115 140 160 161 184 224 230 280 322 368 460 560 644 736 805 920 1120 1288 1610 1840 2576 3220 3680 5152 6440 7573 12880 15146 25760 30292 37865 53011 60584 75730 106022 121168 151460 174179 212044 242336 265055 302920 348358 424088 530110 605840 696716 848176 870895 1060220 1211680 1219253 1393432 1696352 1741790 2120440 2438506 2786864 3483580 4240880 4877012 5573728 6096265 6967160 8481760 9754024 12192530 13934320 19508048 24385060 27868640 39016096 48770120 97540240 195080480