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1141379760 = 243518792531
BaseRepresentation
bin100010000001000…
…0001001010110000
32221112201002200110
41010002001022300
54314143123020
6305131421320
740166365533
oct10402011260
92845632613
101141379760
11536308564
1227a2b4840
1315260b551
14ab830a1a
156a30b8e0
hex440812b0

1141379760 has 80 divisors (see below), whose sum is σ = 3541559040. Its totient is φ = 304085760.

The previous prime is 1141379749. The next prime is 1141379777. The reversal of 1141379760 is 679731411.

It is a tau number, because it is divible by the number of its divisors (80).

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, 449695 + ... + 452225.

It is an arithmetic number, because the mean of its divisors is an integer number (44269488).

Almost surely, 21141379760 is an apocalyptic number.

1141379760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1141379760 is an abundant number, since it is smaller than the sum of its proper divisors (2400179280).

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

1141379760 is a wasteful number, since it uses less digits than its factorization.

1141379760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4426 (or 4420 counting only the distinct ones).

The product of its (nonzero) digits is 31752, while the sum is 39.

The square root of 1141379760 is about 33784.3123357573. The cubic root of 1141379760 is about 1045.0652065872.

The spelling of 1141379760 in words is "one billion, one hundred forty-one million, three hundred seventy-nine thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1879 2531 3758 5062 5637 7516 7593 9395 10124 11274 12655 15032 15186 18790 20248 22548 25310 28185 30064 30372 37580 37965 40496 45096 50620 56370 60744 75160 75930 90192 101240 112740 121488 150320 151860 202480 225480 303720 450960 607440 4755749 9511498 14267247 19022996 23778745 28534494 38045992 47557490 57068988 71336235 76091984 95114980 114137976 142672470 190229960 228275952 285344940 380459920 570689880 1141379760