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5980044960 = 253254152809
BaseRepresentation
bin1011001000111000…
…00011111010100000
3120102202111202111200
411210130003322200
544221342414320
62425221041200
7301122354261
oct54434037240
916382452450
105980044960
11259964131a
1211aa856200
13743bccc56
1440a2d6968
1524eee5290
hex164703ea0

5980044960 has 72 divisors (see below), whose sum is σ = 20406908340. Its totient is φ = 1594678272.

The previous prime is 5980044949. The next prime is 5980044991. The reversal of 5980044960 is 694400895.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5501485584 + 478559376 = 74172^2 + 21876^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2074965 + ... + 2077844.

Almost surely, 25980044960 is an apocalyptic number.

It is an amenable number.

5980044960 is an abundant number, since it is smaller than the sum of its proper divisors (14426863380).

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

5980044960 is a wasteful number, since it uses less digits than its factorization.

5980044960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4152830 (or 4152819 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The square root of 5980044960 is about 77330.7504166357. The cubic root of 5980044960 is about 1815.1038712951.

The spelling of 5980044960 in words is "five billion, nine hundred eighty million, forty-four thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 4152809 8305618 12458427 16611236 20764045 24916854 33222472 37375281 41528090 49833708 62292135 66444944 74750562 83056180 99667416 124584270 132889888 149501124 166112360 186876405 199334832 249168540 299002248 332224720 373752810 398669664 498337080 598004496 664449440 747505620 996674160 1196008992 1495011240 1993348320 2990022480 5980044960