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1146470080 = 26571313907
BaseRepresentation
bin100010001010101…
…1011111011000000
32221220021201021211
41010111123323000
54321444020310
6305432455504
740260556240
oct10425337300
92856251254
101146470080
11539174a38
1227bb4a594
131536a1482
14ac397b20
156a9b4c8a
hex4455bec0

1146470080 has 112 divisors (see below), whose sum is σ = 3144658176. Its totient is φ = 389975040.

The previous prime is 1146470077. The next prime is 1146470093. The reversal of 1146470080 is 800746411.

It is a tau number, because it is divible by the number of its divisors (112).

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, 291487 + ... + 295393.

Almost surely, 21146470080 is an apocalyptic number.

1146470080 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 1146470080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1572329088).

1146470080 is an abundant number, since it is smaller than the sum of its proper divisors (1998188096).

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

1146470080 is a wasteful number, since it uses less digits than its factorization.

1146470080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4062 (or 4052 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 1146470080 is about 33859.5640846128. The cubic root of 1146470080 is about 1046.6164949964.

The spelling of 1146470080 in words is "one billion, one hundred forty-six million, four hundred seventy thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 131 140 160 224 262 280 320 448 524 560 655 917 1048 1120 1310 1834 2096 2240 2620 3668 3907 4192 4585 5240 7336 7814 8384 9170 10480 14672 15628 18340 19535 20960 27349 29344 31256 36680 39070 41920 54698 58688 62512 73360 78140 109396 125024 136745 146720 156280 218792 250048 273490 293440 312560 437584 511817 546980 625120 875168 1023634 1093960 1250240 1750336 2047268 2187920 2559085 3582719 4094536 4375840 5118170 7165438 8189072 8751680 10236340 14330876 16378144 17913595 20472680 28661752 32756288 35827190 40945360 57323504 71654380 81890720 114647008 143308760 163781440 229294016 286617520 573235040 1146470080