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2087681148 = 223376774079
BaseRepresentation
bin111110001101111…
…0111110001111100
312101111100012011000
41330123313301330
513233421244043
6543054130300
7102506665650
oct17433676174
95344305130
102087681148
11981494823
124a31b0990
132736969b7
1415b3a0a60
15c34322d3
hex7c6f7c7c

2087681148 has 96 divisors (see below), whose sum is σ = 6196377600. Its totient is φ = 595453248.

The previous prime is 2087681129. The next prime is 2087681149. The reversal of 2087681148 is 8411867802.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2087681149) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 509773 + ... + 513851.

It is an arithmetic number, because the mean of its divisors is an integer number (64545600).

Almost surely, 22087681148 is an apocalyptic number.

2087681148 is a gapful number since it is divisible by the number (28) 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 2087681148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3098188800).

2087681148 is an abundant number, since it is smaller than the sum of its proper divisors (4108696452).

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

2087681148 is a wasteful number, since it uses less digits than its factorization.

2087681148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4776 (or 4768 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 45.

The square root of 2087681148 is about 45691.1495587493. The cubic root of 2087681148 is about 1278.0702423426.

The spelling of 2087681148 in words is "two billion, eighty-seven million, six hundred eighty-one thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 84 108 126 189 252 378 677 756 1354 2031 2708 4062 4079 4739 6093 8124 8158 9478 12186 12237 14217 16316 18279 18956 24372 24474 28434 28553 36558 36711 42651 48948 56868 57106 73116 73422 85302 85659 110133 114212 127953 146844 170604 171318 220266 255906 256977 342636 440532 511812 513954 770931 1027908 1541862 2761483 3083724 5522966 8284449 11045932 16568898 19330381 24853347 33137796 38660762 49706694 57991143 74560041 77321524 99413388 115982286 149120082 173973429 231964572 298240164 347946858 521920287 695893716 1043840574 2087681148