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2134586880 = 2932592647
BaseRepresentation
bin111111100111011…
…0011011000000000
312111202121020201100
41333032303120000
513332423240010
6551451334400
7103616455236
oct17716633000
95452536640
102134586880
119a5a11798
124b6a51400
1328030a87a
141636d0956
15c75ea2c0
hex7f3b3600

2134586880 has 120 divisors (see below), whose sum is σ = 7392754512. Its totient is φ = 569217024.

The previous prime is 2134586879. The next prime is 2134586891. The reversal of 2134586880 is 886854312.

It is a tau number, because it is divible by the number of its divisors (120).

It is a super-2 number, since 2×21345868802 = 9112922296536268800, which contains 22 as substring.

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

It is a congruent number.

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, 23284 + ... + 69363.

Almost surely, 22134586880 is an apocalyptic number.

2134586880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2134586880 is an abundant number, since it is smaller than the sum of its proper divisors (5258167632).

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

2134586880 is an equidigital number, since it uses as much as digits as its factorization.

2134586880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 92676 (or 92657 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The square root of 2134586880 is about 46201.5895830436. The cubic root of 2134586880 is about 1287.5712730205.

The spelling of 2134586880 in words is "two billion, one hundred thirty-four million, five hundred eighty-six thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 92647 185294 277941 370588 463235 555882 741176 833823 926470 1111764 1389705 1482352 1667646 1852940 2223528 2779410 2964704 3335292 3705880 4169115 4447056 5558820 5929408 6670584 7411760 8338230 8894112 11117640 11858816 13341168 14823520 16676460 17788224 22235280 23717632 26682336 29647040 33352920 35576448 44470560 47435264 53364672 59294080 66705840 71152896 88941120 106729344 118588160 133411680 142305792 177882240 213458688 237176320 266823360 355764480 426917376 533646720 711528960 1067293440 2134586880