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2140207488 = 2733619273
BaseRepresentation
bin111111110010000…
…1111100110000000
312112011011210202000
41333210033212000
513340343114423
6552212024000
7104015314656
oct17744174600
95464153660
102140207488
119a9100621
124b8902000
13281527c83
14164354dd6
15c7d5a843
hex7f90f980

2140207488 has 64 divisors (see below), whose sum is σ = 6316594800. Its totient is φ = 713401344.

The previous prime is 2140207483. The next prime is 2140207499. The reversal of 2140207488 is 8847020412.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2140207483) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 306181 + ... + 313092.

Almost surely, 22140207488 is an apocalyptic number.

It is an amenable number.

2140207488 is an abundant number, since it is smaller than the sum of its proper divisors (4176387312).

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

2140207488 is an equidigital number, since it uses as much as digits as its factorization.

2140207488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 619296 (or 619278 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2140207488 is about 46262.3765926482. The cubic root of 2140207488 is about 1288.7003893621.

It can be divided in two parts, 2140 and 207488, that added together give a triangular number (209628 = T647).

The spelling of 2140207488 in words is "two billion, one hundred forty million, two hundred seven thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 288 384 432 576 864 1152 1728 3456 619273 1238546 1857819 2477092 3715638 4954184 5573457 7431276 9908368 11146914 14862552 16720371 19816736 22293828 29725104 33440742 39633472 44587656 59450208 66881484 79266944 89175312 118900416 133762968 178350624 237800832 267525936 356701248 535051872 713402496 1070103744 2140207488