Search a number
-
+
1364452480 = 2752717867
BaseRepresentation
bin101000101010011…
…1110010010000000
310112002110100221001
41101110332102000
510243244434410
6343220541344
745545440366
oct12124762200
93462410831
101364452480
1164021a386
12320b51854
131898b3741
14cd2db636
157ebc233a
hex5153e480

1364452480 has 64 divisors (see below), whose sum is σ = 3274346880. Its totient is φ = 543697920.

The previous prime is 1364452469. The next prime is 1364452499. The reversal of 1364452480 is 842544631.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 169507 + ... + 177373.

It is an arithmetic number, because the mean of its divisors is an integer number (51161670).

Almost surely, 21364452480 is an apocalyptic number.

1364452480 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 1364452480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1637173440).

1364452480 is an abundant number, since it is smaller than the sum of its proper divisors (1909894400).

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

1364452480 is an equidigital number, since it uses as much as digits as its factorization.

1364452480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8157 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 37.

The square root of 1364452480 is about 36938.4959087400. The cubic root of 1364452480 is about 1109.1394135783.

The spelling of 1364452480 in words is "one billion, three hundred sixty-four million, four hundred fifty-two thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 271 320 542 640 1084 1355 2168 2710 4336 5420 7867 8672 10840 15734 17344 21680 31468 34688 39335 43360 62936 78670 86720 125872 157340 173440 251744 314680 503488 629360 1006976 1258720 2131957 2517440 4263914 5034880 8527828 10659785 17055656 21319570 34111312 42639140 68222624 85278280 136445248 170556560 272890496 341113120 682226240 1364452480