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2135354880 = 2935278041
BaseRepresentation
bin111111101000110…
…1110111000000000
312111211001021012210
41333101232320000
513333122324010
6551520022120
7103626134301
oct17721567000
95454037183
102135354880
119a63967aa
124b7161940
132805192c9
141638507a8
15c76ecb20
hex7f46ee00

2135354880 has 80 divisors (see below), whose sum is σ = 6826487184. Its totient is φ = 569425920.

The previous prime is 2135354869. The next prime is 2135354917. The reversal of 2135354880 is 884535312.

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

It is a congruent number.

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, 131341 + ... + 146700.

Almost surely, 22135354880 is an apocalyptic number.

2135354880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2135354880 is an abundant number, since it is smaller than the sum of its proper divisors (4691132304).

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

2135354880 is an equidigital number, since it uses as much as digits as its factorization.

2135354880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 278067 (or 278051 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 2135354880 is about 46209.9002379360. The cubic root of 2135354880 is about 1287.7256723218.

The spelling of 2135354880 in words is "two billion, one hundred thirty-five million, three hundred fifty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 278041 556082 834123 1112164 1390205 1668246 2224328 2780410 3336492 4170615 4448656 5560820 6672984 8341230 8897312 11121640 13345968 16682460 17794624 22243280 26691936 33364920 35589248 44486560 53383872 66729840 71178496 88973120 106767744 133459680 142356992 177946240 213535488 266919360 355892480 427070976 533838720 711784960 1067677440 2135354880